Q6 of 239 Page 45

Find the cube root of each of the following numbers by prime Factorization method:
729

729

Prime Factorization:

⇒ = (729)^1/3

= ((3 × 3 × 3) × (3 × 3 × 3))^1/3

= (3³ × 3³)^1/3

= (9³)^1/3

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

∴ = 9

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

675

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:

343

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

512

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:729