Question

Find the least number by which 7688 should be multiplied so that the resulting number becomes perfect square

Answer 1

its 2
7688*2= 15376
and 15376 is perfect sqaure of 124

Answer 2

Solution :-

First of all find out the prime factorization of 7688.

Prime Factorization of 7688 = 2 × 2 × 2 × 31 × 31

The only number in the above which has no pair is 2.

So, we have to multiply 7688 by 2 to get the perfect square.

⇒ 7688 × 2 = 15376

15376 is a perfect square.

Let us check it.

Take square root of 15376.

⇒ √15376 = 124

Square root of 15376 is 124.