Question

Given that 150k is the perfect sqaure find the smallest possible value of k

Answer 1

k=6

Explanation:

150=25×6=5²×6

For 150k to be a perfect square, it is necessary that 5²×6×k to be a perfect square.

This is accomplished when k=6 (smallest value)

k=6, 150k=5²×6²=(5×6)²=30²

Answer 2

K = 6

Explanation:

150k = a perfect square

150k = 900

k = 900/150

k = 6

And 900 = 30 × 30