Question

25. difference of two perfect cubes is 189. if the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.

Answer 1

given that cube root of Smaller number is 3

so smaller number is cube of 3 = 3 × 3 × 3 = 27

Smaller number is 27

let larger perfect cube = x

given that x - 27 = 189

⇒ x = 189 + 27 = 216

larger number = 216

∛216 = ∛ 6 × 6 × 6 = 6

hence cube  root of larger number is 6