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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 9: Q 34. (page 1041)

In the following exercises, simplify.
$\sqrt{100 y^{2}}$

Short Answer

Expert verified

The required answer is $10 y$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$\sqrt{100 y^{2}}$

02

Step 2. Simplify the expression.

$\sqrt{100 y^{2}}$

Since ${(10 y)}^{2} = 100 y^{2}$ ,

then, $\sqrt{100 y^{2}} = 10 y$

Therefore, the value is $10 y$ .

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Most popular questions from this chapter

In the following exercises, solve.

$\sqrt{6 s + 4} = \sqrt{8 s - 28}$

In the following exercises, simplify by rationalizing the denominator

(a) $\frac{5}{5 + \sqrt{6}}$ (b) $\frac{6}{3 - \sqrt{7}}$

In the following exercises, solve.

$\sqrt{3 z - 5} + 2 = 0$ .

In the following exercises, simplify and rationalize the denominator.

$\frac{6}{\sqrt{7}}$

Try It.

Solve: $3 \sqrt{6 b + 3} - 25 = 50$

See all solutions

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