Question

Square root of 7921 in prime factorization method

Answer 1

Heya User,

---> Assume a natural no. N..
---> Suppose 0<N<9²

Then, if any no. between 0 to 9 can divide it.. But if it doesn't, the no. is a prime no.

Here,
--> we know :-> 0 < 7921 < 90²

Hence, we try dividing 7921 by all primes falling b/w 0 and 90...
Now,
--> Since we know it is a square,
---------> we can shorten the range :-> 85² < 7921 < 90²

And so we divide 7921 by 86,87,88,89 :-> 
---> Thus, we get 7921 = 89² <--- Ans..

Hence, 7921 = 89² is the root

Answer 2

89 is the answer...

Hope it helps