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

Question

Mathematics

Cherish Barrera

3 April, 00:27

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

+1

Answers (2)

Know the Answer?

Joanna Fuentes · Answer 1

K = 6

Step-by-step explanation:

150k = a perfect square

150k = 900

k = 900/150

k = 6

And 900 = 30 * 30

Orozco · Answer 2

k=6

Step-by-step 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