Question

If k ^1/3= integer and k ^1/2= integer, which is a possible valued for k?

Answer 1

The possible value of k is 64

Explanation:

Integers are whole numbers, example, 1, 2, 3 , 4, 5, 6, 7, 8, 9, etc

Given;

k ^1/3 = integer and

k ^1/2 = integer

To solve this, we think of a number whose cube root (k ^1/3) is a whole number (integer) and square root (k ^1/2) is also a whole number (integer).

This number is 64

Check:

(64)^1/3 = 4 (4 is an integer)

(64)^1/2 = 8 (8 is an integer)

Therefore, the possible value of k is 64