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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 1: Q25. (page 10)

Simplify each square root.
$+ \sqrt{\frac{16}{49}}$

Short Answer

Expert verified

The square root of the number is $+ \frac{4}{7}$ .

Step by step solution

01

Step 1. Identify the perfect square.

We know that $16 = 4^{2}$ and $49 = 7^{2}$ .

02

Step 2. Square root of the perfect square.

Since $16 = 4^{2}$ and $49 = 7^{2}$ . So, we can write $+ \sqrt{\frac{16}{49}} = + \sqrt{{(\frac{4}{7})}^{2}}$

03

Step 3. Cancel square and square root.

$+ \sqrt{{(\frac{4}{7})}^{2}} = + \frac{4}{7}$

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