Chapter 9: Q 371 (page 1091)

In the following exercises, simplify by rationalizing the denominator
$\frac{\sqrt{r} + \sqrt{5}}{\sqrt{r} - \sqrt{5}}$

Short Answer

Expert verified

$\frac{{(\sqrt{r} + \sqrt{5})}^{2}}{r - 5}$

Step by step solution

Step 1. Given Information

$\frac{\sqrt{r} + \sqrt{5}}{\sqrt{r} - \sqrt{5}}$

Step 2. Rationalize

$\frac{\sqrt{r} + \sqrt{5}}{\sqrt{r} - \sqrt{5}} \frac{\sqrt{r} + \sqrt{5}}{\sqrt{r} - \sqrt{5}} \times \frac{\sqrt{r} + \sqrt{5}}{\sqrt{r} + \sqrt{5}} \frac{(\sqrt{r} + \sqrt{5}) (\sqrt{r} + \sqrt{5})}{(\sqrt{r} - \sqrt{5}) (\sqrt{r} + \sqrt{5})} \frac{{(\sqrt{r} + \sqrt{5})}^{2}}{r - 5}$

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In the following exercises, simplify by rationalizing the denominator
$\frac{\sqrt{r} + \sqrt{5}}{\sqrt{r} - \sqrt{5}}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Rationalize

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In the following exercises, simplify by rationalizing the denominator r+5r-5

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Rationalize

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Decision Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify by rationalizing the denominator
$\frac{\sqrt{r} + \sqrt{5}}{\sqrt{r} - \sqrt{5}}$