Answer:
The possible value of k is 64
Step-by-step 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
