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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 9.199. (page 1121)

Simplify: (a) $\sqrt[5]{3 x} + \sqrt[5]{3 x}$ (b) $3 \sqrt[3]{9} - \sqrt[3]{9}$

Short Answer

Expert verified

Part (a) $\sqrt[5]{3 x} + \sqrt[5]{3 x} = 2 \sqrt[5]{3 x}$ .

Part (b) $3 \sqrt[3]{9} - \sqrt[3]{9} = 2 \sqrt[3]{9}$ .

Step by step solution

01

Part (a) Step 1 . Given Information

The given expression is $\sqrt[5]{3 x} + \sqrt[5]{3 x}$ .

02

Part (a) Step 2. Simplification

The radicals are like, so we add the coefficients.

$2 \sqrt[5]{3 x}$

So, $\sqrt[5]{3 x} + \sqrt[5]{3 x} = 2 \sqrt[5]{3 x}$ .

03

Part (b) Step 1. Given information

The given expression is $3 \sqrt[3]{9} - \sqrt[3]{9}$ .

04

Part (b) Step 2. Simplification

The radicals are like, so we subtract the coefficients.

$2 \sqrt[3]{9}$

So, $3 \sqrt[3]{9} - \sqrt[3]{9} = 2 \sqrt[3]{9}$ .

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