Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q 9.203 (page 1123)

Simplify: (a) $\sqrt[3]{32 y^{5}} - \sqrt[3]{- 108 y^{8}}$ (b) $\sqrt[4]{243 r^{11}} + \sqrt[4]{768 r^{10}}$

Short Answer

Expert verified

The Simplification of the expressions are:

Part (a) $2 y \sqrt[3]{4 y^{2}} + 3 y^{2} \sqrt[3]{4 y^{2}}$

part (b) $3 r^{2} \sqrt[4]{3 r^{3}} + 4 r^{2} \sqrt[4]{3 r^{2}}$

Step by step solution

Part (a) Step 1. Given Information

Given expression is $\sqrt[3]{32 y^{5}} - \sqrt[3]{- 108 y^{8}}$

Part (a) Step 2: Simplification

$\sqrt[3]{32 y^{5}} - \sqrt[3]{- 108 y^{8}} = 2 y \sqrt[3]{2^{2} y^{2}} - (- 3 y^{2} \sqrt[3]{4 y^{2}}) = 2 y \sqrt[3]{4 y^{2}} + 3 y^{2} \sqrt[3]{4 y^{2}}$

Part (b) Step 1: Given information

Given expression is $\sqrt[4]{243 r^{11}} + \sqrt[4]{768 r^{10}}$

Part (b) Step 2: Simplification

$\sqrt[4]{243 r^{11}} + \sqrt[4]{768 r^{10}} = 3 r^{2} \sqrt[4]{3 r^{3}} + \sqrt[4]{768 r^{10}} = 3 r^{2} \sqrt[4]{3 r^{3}} + 4 r^{2} \sqrt[4]{3 r^{2}}$

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91影视

Simplify: (a) $\sqrt[3]{32 y^{5}} - \sqrt[3]{- 108 y^{8}}$ (b) $\sqrt[4]{243 r^{11}} + \sqrt[4]{768 r^{10}}$

Short Answer

Step by step solution

Part (a) Step 1. Given Information

Part (a) Step 2: Simplification

Part (b) Step 1: Given information

Part (b) Step 2: Simplification

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91影视

Simplify: (a)32y53--108y83(b)243r114+768r104

Short Answer

Step by step solution

Part (a) Step 1. Given Information

Part (a) Step 2: Simplification

Part (b) Step 1: Given information

Part (b) Step 2: Simplification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

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Calculus

Study anywhere. Anytime. Across all devices.

Simplify: (a) $\sqrt[3]{32 y^{5}} - \sqrt[3]{- 108 y^{8}}$ (b) $\sqrt[4]{243 r^{11}} + \sqrt[4]{768 r^{10}}$