Question

find the smallest no. by which 7776 should be divided to get a perfect square no.
1- find the reasulting no.
2- what is the square root of the no. so obtained

Answer 1

By factorizing 7776 we get:
2*2*2*2*2*3*3*3*3*3.
=2^5+3^5
We see that both 2 and 3 do not exist 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.
Ans:1.The resulting no is 1296.
2.The square root of the number is +36 or -36.
====================================
Please mark it as the best.

Answer 2

I hope it helps you.

Please Mark as the brainliest