Q6 of 239 Page 45

Find the cube root of each of the following numbers by prime Factorization method:
343

343

Prime Factorization:

⇒ = (343)^1/3

= (7 × 7 × 7)^1/3

= (7³)^1/3

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

∴ = 7

Find the smallest number by which each of the following number must be multiplied to obtain a perfect cube.

100

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:

512

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

0.064

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:343