Question

Find the smallest number by which 972 be divided so that the quotient becomes a perfect square. Find the perfect square

Answer 1

972=2×2×3×3×3×3×3
To make perfect square all pa prime multiple have pair so here one pair 3 is missing so we have ti divided by 3 to make perfect square

Answer 2

Smallest no. by which 972 must be divided = 3
The perfect square is = 972 ÷ 3 = 324
                   √324 = 18