?Use the Product Property to Simplify Square Roots In the following exercises, simplify

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{n^{21}}\) Text Transcription: sqrt n^21

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{r^{25}}\) Text Transcription: sqrt r^25

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{s^{33}}\) Text Transcription: sqrt s^33

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{49 n^{17}}\) Text Transcription: sqrt 49n^17

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{25 m^{9}}\) Text Transcription: sqrt 25m^9

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{81 r^{15}}\) Text Transcription: sqrt 81r^15

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{100 s^{19}}\) Text Transcription: sqrt 100s^19

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{98 m^{5}}\) Text Transcription: sqrt 98m^5

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{32 n^{11}}\) Text Transcription: sqrt 32n^11

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{125 r^{13}}\) Text Transcription: sqrt 125r^13

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{80 s^{15}}\) Text Transcription: sqrt 80s^15

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{200 p^{13}}\) Text Transcription: sqrt 200p^13

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{128 q^{3}}\) Text Transcription: sqrt 128q^3

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{242 m^{23}}\) Text Transcription: sqrt 242m^23

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{175 n^{13}}\) Text Transcription: sqrt 175n^13

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{147 m^{7} n^{11}}\) Text Transcription: sqrt 147m^7n^11

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{48 m^{7} n^{5}}\) Text Transcription: sqrt 48m^7n^5

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{75 r^{13} s^{9}}\) Text Transcription: sqrt 75r^13s^9

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{96 r^{3} s^{3}}\) Text Transcription: sqrt 96r^3s^3

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{300 p^{9} q^{11}}\) Text Transcription: sqrt 300p^9q^11

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{192 q^{3} r^{7}}\) Text Transcription: sqrt 192q^3r^7

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{242 m^{13} n^{21}}\) Text Transcription: sqrt 242m^13n^21

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{150 m^{9} n^{3}}\) Text Transcription: sqrt 150m^9n^3

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(5+\sqrt{12}\) Text Transcription: 5+sqrt 12

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(8+\sqrt{96}\) Text Transcription: 8+sqrt 96

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(1+\sqrt{45}\) Text Transcription: 1+sqrt 45

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(3+\sqrt{125}\) Text Transcription: 3+sqrt 125

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\frac{10-\sqrt{24}}{2}\) Text Transcription: 10-sqrt 24/2

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\frac{8-\sqrt{80}}{4}\) Text Transcription: 8-sqrt 80/4

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\frac{3+\sqrt{90}}{3}\) Text Transcription: 3+sqrt 90/3

Use the Product Property to Simplify Square Roots In the following exercises, simplify. \(\frac{15+\sqrt{75}}{5}\) Text Transcription: 15+sqrt 75/5

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{49}{64}}\) Text Transcription: sqrt 49/64

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{100}{36}}\) Text Transcription: sqrt 100/36

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{121}{16}}\) Text Transcription: sqrt 121/16

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{144}{169}}\) Text Transcription: sqrt 144/169

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{72}{98}}\) Text Transcription: sqrt 72/98

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{75}{12}}\) Text Transcription: sqrt 75/12

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{45}{125}}\) Text Transcription: sqrt 45/125

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{300}{243}}\) Text Transcription: sqrt 300/243

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{x^{10}}{x^{6}}}\) Text Transcription: sqrt x^10/x^6

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{p^{20}}{p^{10}}}\) Text Transcription: sqrt p^20/p^10

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{y^{4}}{y^{8}}}\) Text Transcription: sqrt y^4/y^8

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{q^{8}}{q^{14}}}\) Text Transcription: sqrt q^8/q^14

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{200 x^{7}}{2 x^{3}}}\) Text Transcription: sqrt 200x^7/2x^3

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{98 y^{11}}{2 y^{5}}}\) Text Transcription: sqrt 98y^11/2y^5

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{96 p^{9}}{6 p}}\) Text Transcription: sqrt 96p^9/6p

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{108 q^{10}}{3 q^{2}}}\) Text Transcription: sqrt 108q^10/3q^2

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{36}{35}}\) Text Transcription: sqrt 36/35

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{144}{65}}\) Text Transcription: sqrt 144/65

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{20}{81}}\) Text Transcription: sqrt 20/81

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{21}{196}}\) Text Transcription: sqrt 21/196

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{96 x^{7}}{121}}\) Text Transcription: sqrt 96x^7/121

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{108 y^{4}}{49}}\) Text Transcription: sqrt 108y^4/49

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{300 m^{5}}{64}}\) Text Transcription: sqrt 300m^5/64

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{125 n^{7}}{169}}\) Text Transcription: sqrt 125n^7/169

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{98 r^{5}}{100}}\) Text Transcription: sqrt 98r^5/100

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{180 s^{10}}{144}}\) Text Transcription: sqrt 180s^10/144

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{28 q^{6}}{225}}\) Text Transcription: sqrt 28q^6/225

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{150 r^{3}}{256}}\) Text Transcription: sqrt 150r^3/256

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{75 r^{9}}{s^{8}}}\) Text Transcription: sqrt 75r^9/s^8

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{72 x^{5}}{y^{6}}}\) Text Transcription: sqrt 72x^5/y^6

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{28 p^{7}}{q^{2}}}\) Text Transcription: sqrt 28p^7/q^2

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{45 r^{3}}{s^{10}}}\) Text Transcription: sqrt 45r^3/s^10

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{100 x^{5}}{36 x^{3}}}\) Text Transcription: sqrt 100x^5/36x^3

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{49 r^{12}}{16 r^{6}}}\) Text Transcription: sqrt 49r^12/16r^6

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{121 p^{5}}{81 p^{2}}}\) Text Transcription: sqrt 121p^5/81p^2

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{25 r^{8}}{64 r}}\) Text Transcription: sqrt 25r^8/64r

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{32 x^{5} y^{3}}{18 x^{3} y}}\) Text Transcription: sqrt 32x^5y^3/18x^3y

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{75 r^{6} s^{8}}{48 r s^{4}}}\) Text Transcription: sqrt 75r^6s^8/48rs^4

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{27 p^{2} q}{108 p^{5} q^{3}}}\) Text Transcription: sqrt 27p^2q/108p^5q^3

Use the Quotient Property to Simplify Square Roots In the following exercises, simplify. \(\sqrt{\frac{50 r^{5} s^{2}}{128 r^{2} s^{5}}}\) Text Transcription: sqrt 50r^5s^2/128r^2s^5

(a) Elliott decides to construct a square garden that will take up 288 square feet of his yard. Simplify \(\sqrt{288}\) to determine the length and the width of his garden. Round to the nearest tenth of a foot. (b) Suppose Elliott decides to reduce the size of his square garden so that he can create a 5-footwide walking path on the north and east sides of the garden. Simplify \(\sqrt{288}-5\) to determine the length and width of the new garden. Round to the nearest tenth of a foot. Text Transcription: sqrt 288 sqrt 288-5

(a) Melissa accidentally drops a pair of sunglasses from the top of a roller coaster, 64 feet above the ground. Simplify \(\sqrt{\frac{64}{16}}\) to determine the number of seconds it takes for the sunglasses to reach the ground. (b) Suppose the sunglasses in the previous example were dropped from a height of 144 feet. Simplify \(\sqrt{\frac{144}{16}}\) to determine the number of seconds it takes for the sunglasses to reach the ground. Text Transcription: sqrt 64/16 sqrt 144/16

Writing Exercises Explain why \(\sqrt{x^{4}}=x^{2}\) . Then explain why \(\sqrt{x^{16}}=x^{8}\). Text Transcription: sqrt x^4=x^2 sqrt x^16=x^8

Writing Exercises Explain why \(7+\sqrt{9}\) is not equal to \(\sqrt{7+9}\) . Text Transcription: 7+sqrt 9 sqrt 7+9

Simplify: \(\sqrt{48}\) Text Transcription: sqrt48

Simplify: \(\sqrt{45}\) Text Transcription: sqrt45

Simplify: \(\sqrt{288}\) Text Transcription: sqrt 288

Simplify: \(\sqrt{432}\) Text Transcription: sqrt432

Simplify: \(\sqrt{b^{5}}\) Text Transcription: Sqrt b^5

Simplify: \(\sqrt{p^{9}}\) Text Transcription: Sqrt p^9

Simplify: \(\sqrt{16 x^{7}}\) Text Transcription: Sqrt 16x^7

Simplify: \(\sqrt{49 v^{9}}\) Text Transcription: Sqrt 49v^9

Simplify: \(\sqrt{32 y^{5}}\) Text Transcription: Sqrt 32y^5

Simplify: \(\sqrt{75 a^{9}}\) Text Transcription: Sqrt 75a^9

Simplify: \(\sqrt{98 a^{7} b^{5}}\) Text Transcription: Sqrt 98a^7b^5

Simplify: \(\sqrt{180 m^{9} n^{11}}\) Text Transcription: Sqrt 180m^9n^11

Simplify: \(5+\sqrt{75}\) Text Transcription: 5+sqrt75

Simplify: \(2+\sqrt{98}\) Text Transcription: 2+sqrt98

Simplify: \(\frac{10-\sqrt{75}}{5}\) Text Transcription: 10-sqrt75 / 5

Simplify: \(\frac{6-\sqrt{45}}{3}\) Text Transcription: 6-sqrt45 / 3

Simplify: \(\sqrt{\frac{25}{16}}\) Text Transcription: Sqrt 25/16

Simplify: \(\sqrt{\frac{49}{81}}\) Text Transcription: Sqrt 49/81

Simplify: \(\sqrt{\frac{75}{48}}\) Text Transcription: Sqrt 75/48

Simplify: \(\sqrt{\frac{98}{162}}\) Text Transcription: Sqrt 98/162

Simplify: \(\sqrt{\frac{a^{8}}{a^{6}}}\) Text Transcription: Sqrt a^8/a^6

Simplify: \(\sqrt{\frac{x^{14}}{x^{10}}}\) Text Transcription: Sqrt x^14/x^10

Simplify: \(\sqrt{\frac{75 x^{5}}{3 x}}\) Text Transcription: Sqrt 75x^5/3x

Simplify: \(\sqrt{\frac{72 z^{12}}{2 z^{10}}}\) Text Transcription: Sqrt 72z^12/2z^10

Simplify: \(\sqrt{\frac{19}{49}}\) Text Transcription: Sqrt 19/49

Simplify: \(\sqrt{\frac{28}{81}}\) Text Transcription: Sqrt 28/81

Simplify: \(\sqrt{\frac{24 p^{3}}{49}}\) Text Transcription: Sqrt 24p^3/49

Simplify: \(\sqrt{\frac{48 x^{5}}{100}} .\) Text Transcription: Sqrt 48x^5/100

Simplify: \(\sqrt{\frac{80 m^{3}}{n^{6}}}\) Text Transcription: Sqrt 80m^3/n^6

Simplify: \(\sqrt{\frac{54 u^{7}}{v^{8}}}\) Text Transcription: Sqrt 54u^7/v^8

Simplify: \(\sqrt{\frac{64 x^{7}}{9 x^{3}}}\) Text Transcription: Sqrt 64x^7/9x^3

Simplify: \(\sqrt{\frac{16 a^{9}}{100 a^{5}}}\) Text Transcription: Sqrt 16a^9/100a^5

Simplify: \(\sqrt{\frac{50 x^{5} y^{3}}{72 x^{4} y}}) Text Transcription: Sqrt 50x^5y^3/72x^4y

Simplify: \(\sqrt{\frac{48 m^{7} n^{2}}{125 m^{5} n^{9}}}\) Text Transcription: Sqrt 48m^7n^2/125m^5n^9

In the following exercises, simplify. \(\sqrt{27}\) Text Transcription: sqrt27

In the following exercises, simplify. \(\sqrt{80}\) Text Transcription: sqrt80

In the following exercises, simplify. \(\sqrt{125}\) Text Transcription: sqrt125

In the following exercises, simplify. \(\sqrt{96}\) Text Transcription: sqrt96

In the following exercises, simplify. \(\sqrt{200}\) Text Transcription: sqrt200

In the following exercises, simplify. \(\sqrt{147}\) Text Transcription: sqrt147

In the following exercises, simplify. \(\sqrt{450}\) Text Transcription: sqrt450

In the following exercises, simplify. \(\sqrt{252}\) Text Transcription: sqrt252

In the following exercises, simplify. \(\sqrt{800}\) Text Transcription: sqrt800

In the following exercises, simplify. \(\sqrt{288}\) Text Transcription: sqrt288

In the following exercises, simplify. \(\sqrt{675}\) Text Transcription: Sqrt 675

In the following exercises, simplify. \(\sqrt{1250}\) Text Transcription: Sqrt 1250

In the following exercises, simplify. \(\sqrt{x^{7}}\) Text Transcription: Sqrt x^7

In the following exercises, simplify. \(\sqrt{y^{11}}\) Text Transcription: Sqrt y^11

In the following exercises, simplify. \(\sqrt{p^{3}}\) Text Transcription: Sqrt p^3

In the following exercises, simplify. \(\sqrt{q^{5}}\) Text Transcription: Sqrt q^5

In the following exercises, simplify. \(\sqrt{m^{13}}\) Text Transcription: Sqrt m^13