Question

Find The smallest number by which 21952 must be divided quoteint is a perfect square. Find the Square root of quotinent

Answer 1

Answer:

1 is the smallest number and it is a perfect square root

Answer 2

Answer:

Given number is 8748

On prime factorising, we get

8748=2×2×3×3×3×3×3×3×3

Grouping of the equal factor in 3’s, it’s seen that 2×2×3 is left without grouping.

8748=2×2×3×(3×3×3)×(3×3×3)

Hence, on dividing the number 8748 by 12, we get 729

And, the cube root of 729 is 3×3=9.

solution