Explain why rewriting the difference quotient x + h x h by rationalizing its numerator

Chapter 0, Problem 113

(choose chapter or problem)

Think About It   Explain why rewriting the difference quotient

\(\frac{\sqrt{x+h}-\sqrt{x}}{h}\)

by rationalizing its numerator does not result in an expression in simplest form.

Text Transcription:

frac{sqrt{x+h}-sqrt{x}}{h}