Question

Find the smallest possible integer value of k for which 264k is a perfect square.

Answer 1

Step-by-step explanation:

264k

= 2³ * 3 * 11 * k

Hence, k = 2 * 3 * 11 = 66.

Answer 2

Answer:

k = 66.

Step-by-step explanation:

Find the prime factors of 264

264  =  2 * 2 * 2 * 3 * 11

The nearest perfect square will contain  one more 2, one more 3 and one more 11

=  264 * 2 * 3 * 11

= 17424.