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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 278 (page 811)

In the following exercises, simplify.
$\frac{\sqrt{7}}{\sqrt{y} + \sqrt{3}}$

Short Answer

Expert verified

The answer is $\frac{\sqrt{7} (\sqrt{y} - \sqrt{3})}{y - 3}$

Step by step solution

Step 1. Given

The expression is $\frac{\sqrt{7}}{\sqrt{y} + \sqrt{3}}$

Step 2. Rationalize the denominators of the given expressions.

$\frac{\sqrt{7}}{\sqrt{y} + \sqrt{3}} = \frac{\sqrt{7}}{\sqrt{y} + \sqrt{3}} 脳 \frac{\sqrt{y} - \sqrt{3}}{\sqrt{y} - \sqrt{3}} = \frac{\sqrt{7} (\sqrt{y} - \sqrt{3})}{{(\sqrt{y})}^{2} - {(\sqrt{3})}^{2}} = \frac{\sqrt{7} (\sqrt{y} - \sqrt{3})}{y - 3}$

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In the following exercises, simplify.7y+3

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.
$\frac{\sqrt{7}}{\sqrt{y} + \sqrt{3}}$