Question

Find the square root by means of factors 298116,11644

Answer 1

prime factorisation of 298116 = 2*2*3*3*7*7*13*13
so root of(298116)=2*3*7*13
( for finding squareroots take each factors once from their pair)
=546
question will be 11664 because 11644 is not a perfect square
(here take one 2 from first pair, 2nd 2 from 2nd pair,one 3 from 3rd pair,one 3 from f4th pair,one 3 from 5th pair)
prime factorisation of 11664=2*2*2*2*3*3*3*3*3*3
so root of (11664)=2*2*3*3*3
=108