Q6 of 239 Page 45

Find the cube root of each of the following numbers by prime Factorization method:
512

512

Prime Factorization:

⇒ = (512)^1/3

= ((2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2))^1/3

= (2³ × 2³ × 2³)^1/3

= (8³)^1/3

We know that by laws of exponents, (a^m)ⁿ = a^mn.

∴ = 8

Find the cube root of each of the following numbers by prime Factorization method:

729

Find the cube root of each of the following numbers by prime Factorization method:

343

Find the cube root of each of the following numbers by prime Factorization method:

0.064

Find the cube root of each of the following numbers by prime Factorization method:

0.216

Questions · 239

1. Real Number System

1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 5 5 6 6 1 1 1 1 2 2 2 2 3 3 3 3 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 1 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 1 1 1 1 1 1 1 2 3

Find the cube root of each of the following numbers by prime Factorization method:512