Question

(c) Find the smallest positive integer k such that 360 k is a cube number.

Answer 1

Answer:

k=75

Step-by-step explanation:

Prime factorise 360 u will get

360=3x3x2x2x2x5

now when we cube root this prime factorisation we will get

$2 \ \sqrt[3]{3 \times 3 \times 5}$

now to make it a perfect cube number we just have to multiply it by 3x5x5 so k = 3x5x5 which is equal to 75