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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q. 1.82 (page 65)

Simplify: 鈸� $\sqrt{16}$ 鈸� $\sqrt{196}$ 鈸� $- \sqrt{100}$ .

Short Answer

Expert verified

On simplifying the we get the result as

鈸� 4

鈸� 14

鈸� 鈭�10

Step by step solution

01

Step 1. Given information

The given numbers are

$\begin{array}{l} a) \sqrt{16} \\ b) \sqrt{196} \\ c) 鈭� \sqrt{100} \end{array}$

We have to simplify the terms.

02

Step 2. calculate the square root for part (a)

$\begin{array}{l} Wehave \sqrt{16} \\ {Since4}^{2} = 16 \\ Thus, \\ 鈬� \sqrt{16} = 4 \end{array}$

03

Step 3. calculate the square root for part (b)

$\begin{array}{l} Wehave \sqrt{196} \\ {Since14}^{2} = 196 \\ Thus, \\ 鈬� \sqrt{196} = 14 \end{array}$

04

Step 3. calculate the square root for part (b)

$\begin{array}{l} Wehave 鈭� \sqrt{100} \\ {Since10}^{2} = 100 \\ Thenegativeisinfrontoftheradicalsign. \\ Thus, \\ 鈬� 鈭� \sqrt{100} = 鈭� 10 \end{array}$

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Most popular questions from this chapter

In the following exercises, simplify each expression.

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