Chapter 8: Q. 281 (page 811)

In the following exercises, simplify.
$\frac{\sqrt{x} + \sqrt{8}}{\sqrt{x} - \sqrt{8}}$

Short Answer

Expert verified

The answer is $\frac{{(\sqrt{x} + 2 \sqrt{2})}^{2}}{x - 8}$

Step by step solution

Step 1. Given

The expression is $\frac{\sqrt{x} + \sqrt{8}}{\sqrt{x} - \sqrt{8}}$

Step 2. Rationalize the denominators of the given expressions.

$\frac{\sqrt{x} + \sqrt{8}}{\sqrt{x} - \sqrt{8}} = \frac{\sqrt{x} + \sqrt{8}}{\sqrt{x} - \sqrt{8}} \times \frac{\sqrt{x} + \sqrt{8}}{\sqrt{x} + \sqrt{8}} = \frac{{(\sqrt{x} + \sqrt{8})}^{2}}{{(\sqrt{x})}^{2} - {(\sqrt{8})}^{2}} = \frac{{(\sqrt{x} + 2 \sqrt{2})}^{2}}{x - 8}$

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In the following exercises, simplify.
$\frac{\sqrt{x} + \sqrt{8}}{\sqrt{x} - \sqrt{8}}$

Short Answer

Step by step solution

Step 1. Given

Step 2. Rationalize the denominators of the given expressions.

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In the following exercises, simplify.x+8x-8

Short Answer

Step by step solution

Step 1. Given

Step 2. Rationalize the denominators of the given expressions.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

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Study anywhere. Anytime. Across all devices.

In the following exercises, simplify.
$\frac{\sqrt{x} + \sqrt{8}}{\sqrt{x} - \sqrt{8}}$