Question

Find the smallest number by which multiplied so that the product is perfect square. Also find the square root of this new number
a) 175
b) 325
c) 720
d) 3150​

Answer 1

Correct option is

A

3660

Prime Factorization of 720 is,

720=2×2×2×2×3×3×5

To find perfect square make pair of two of prime factors

thus,

there is a pair of 5 is missing hence to make 720 a perfect square we have to multiply by 5.

5 is the smallest number by which 720 should be multiplied to get a perfect square number

(i) 720×5=3600

(ii)

3600

=60

∴3600+60=3660

Hence 3660 is the answer.