Question

Find the smallest number by which the following numbers we divided to obtain a perfect square. also find the square root of tge perfect square, so obtained ? (a) 8748​

Answer 1

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.