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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 317. (page 1090)

In the following exercise, simplify.
$\frac{\sqrt{27}}{6}$

Short Answer

Expert verified

Answer is $\frac{\sqrt{3}}{2}$

Step by step solution

01

Step 1. Given information

Fraction is $\frac{\sqrt{27}}{6}$

02

Step 2. Explanation

$\begin{array}{rcl} \frac{\sqrt{27}}{6} & = & \frac{3 \sqrt{3}}{6} \\ = & \frac{\sqrt{3}}{2} \end{array}$

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Most popular questions from this chapter

In the following exercises, simplify by rationalizing the denominator

$\frac{\sqrt{2}}{\sqrt{x} - \sqrt{6}}$

In the following exercises, simplify and rationalize the denominator.

$- \frac{8}{3 \sqrt{6}}$

In the following exercises, simplify and rationalize the denominator.

$\frac{3}{\sqrt{13}}$

In the following exercises, simplify by rationalizing the denominator

(a) $\frac{4}{4 + \sqrt{7}}$ (b) $\frac{7}{2 - \sqrt{6}}$

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$\sqrt{4 v + 3} = \sqrt{v - 6}$ .

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