RS Aggarwal Solutions Class 8 Mathematics Solutions for Cubes and Cube Roots Exercise 4D in Chapter 4 - Cubes and Cube Roots

Question 7 Cubes and Cube Roots Exercise 4D

$\sqrt[3]{(125\times64)=?}$

a) 100

b) 40

c) 20

d) 30

Answer:

Firstly we have to find the prime factors of 125

125 = 5 × 5 × 5

And the prime factors of 64

64 = 2 × 2 × 2 × 2 × 2 × 2

$\sqrt[3]{(125\times64)}=\sqrt[3]{(5\times5\times5\times4\times4\times4)}=\sqrt[3]{(5\times5\times5)\times\sqrt[3]{(4\times4\times4)}}$

= 5 × 4 = 20

∴ 20 is the correct answer.

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Exercises

Cubes and Cube Roots Exercise 4A

Cubes and Cube Roots Exercise 4B

Cubes and Cube Roots Exercise 4C

Cubes and Cube Roots Exercise 4D

Chapters

Rational Numbers

Exponents

Squares and Square Roots

Cubes and Cube Roots

Playing with Numbers

Operations on Algebraic Expressions

Factorisation

Linear Equations

Percentage

Profit and Loss

Compound Interest

Direct and Inverse Proportions

Time and Work

Polygons

Parallelograms

Construction of Quadrilaterals

Area of a Trapezium and a Polygon

Three-Dimensional Figures

Volume and Surface Area of Solids

Data Handling

Introduction to Coordinate Geometry

Line Graphs and Linear Graphs

Pie Charts

Probability