Question

explain please .........................

Answer 1

to find square root of 175561, we should factorize it .

Clearly 2,3,11,13,17,23,29,31,37,41,43,47,53,59,61,67,71,73,79,
83,89,97,101 are not factors of it. So we need to find further prime numbers so that prime number square can be it .103,107,109,113,127,131,137,139,149,151,157,1 63,167,173,... So as 400 square is 160000 hence as 175561 is close to 400 square let's see prime numbers greater than 400. 407,409,417,419. So it can be 419 square we can guess as 420 square is 176400.