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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. 358 (page 1090)

In the following exercises, simplify and rationalize the denominator.
$\sqrt{\frac{4}{27}}$

Short Answer

Expert verified

The simplified expression can be given as $\frac{2 \sqrt{3}}{9}$

Step by step solution

Given information

We are given an expression $\sqrt{\frac{4}{27}}$

Write separately over the denominator and multiply numerator and denominator by 27

We have,

$\frac{\sqrt{4}}{\sqrt{27}} 路 \frac{\sqrt{27}}{\sqrt{27}} = \frac{6 \sqrt{3}}{27} = \frac{2 \sqrt{3}}{9}$

Conclusion

The simplified expression can be given as $\frac{2 \sqrt{3}}{9}$

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In the following exercises, simplify and rationalize the denominator. 427

Short Answer

Step by step solution

Given information

Write separately over the denominator and multiply numerator and denominator by 27

Conclusion

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In the following exercises, simplify and rationalize the denominator.
$\sqrt{\frac{4}{27}}$