Question

find the smallest number by which 7776 is to be get perfect square

Answer 1

7776=2×2×2×2×2×3×3×3×3×3


=2×3 =6


so, 6 is answer

Answer 2

Hey firend your answer is

the smallest number by which 7776 is to be get perfect square

by prime factorising

2*2*2*2*2*3*3*3*3*3.

=2^5+3^5

2 nad 3 are not there in pairs

Hence , to make the number a perfect square , we should divide it by 2 and 3 respectively , (2*3) =6 , hence we should divide it by six.

The resulting number is 2^4 * 3^4.

=16*81

=1296.

Square root of this perfect square=√1296

=+36 or -36.