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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 9.96. (page 1069)

Simplify:
$(a) {(\sqrt{16})}^{2} (b) {(- \sqrt{20})}^{2}$

Short Answer

Expert verified

Part $(a) 16$

Part $(b) 20$

Step by step solution

Part (a) Step 1. Given information.

The given square root is ${(\sqrt{16})}^{2}$ .

Part (a) Step 2. Simplify the given root.

${(\sqrt{16})}^{2} = 16$

Part (b) Step 1. Given information.

The given square root is ${(- \sqrt{20})}^{2}$ .

Part (b) Step 2. Simplify the given root.

${(- \sqrt{20})}^{2} = {(\sqrt{20})}^{2} = {(2 \sqrt{5})}^{2} = 2^{2} {(\sqrt{5})}^{2} = 4 {(\sqrt{5})}^{2} = 4 \cdot 5 = 20$

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Simplify:(a)162(b)−202

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Simplify the given root.

Part (b) Step 1. Given information.

Part (b) Step 2. Simplify the given root.

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Simplify:
$(a) {(\sqrt{16})}^{2} (b) {(- \sqrt{20})}^{2}$