Question

Q#1: Find the smallest value of n such that 164n is a perfect square.
Q#2: Find the smallest value of k such that 3240k is a perfect cube.

Answer 1

a) Find the smallest value of k such that 3240k is a perfect cube.

ans) 164 prime factors = 2*2*41

so if we multiply it with 41

it will be a perfect Square of 2*41 = 82

b) 3240*k

3240 prime factors = 2*2*2*5*3*3*3*3

For cube , we have pair of 3 .

so, we need = 5*5*3*3 = 225 ans

hope it helps you mark as brainliest please