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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q 367 (page 1091)

In the following exercises, simplify by rationalizing the denominator
$\frac{\sqrt{3}}{\sqrt{m} - \sqrt{5}}$

Short Answer

Expert verified

$\frac{\sqrt{3} (\sqrt{m} + \sqrt{5})}{m - 5}$

Step by step solution

Step 1. Given information

$\frac{\sqrt{3}}{\sqrt{m} - \sqrt{5}}$

Step 2. Rationalize

$\frac{\sqrt{3}}{\sqrt{m} - \sqrt{5}} \frac{\sqrt{3}}{\sqrt{m} - \sqrt{5}} 脳 \frac{\sqrt{m} + \sqrt{5}}{\sqrt{m} + \sqrt{5}} \frac{\sqrt{3} (\sqrt{m} + \sqrt{5})}{(\sqrt{m} - \sqrt{5}) (\sqrt{m} + \sqrt{5})} \frac{\sqrt{3} (\sqrt{m} + \sqrt{5})}{m - 5}$

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In the following exercises, simplify by rationalizing the denominator 3m-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
$\frac{\sqrt{3}}{\sqrt{m} - \sqrt{5}}$