Question

By what least number should the given number be multiplied to get a perfect Square number ? In each case, find the number whose Square is the new number.
a ) 7688​

Answer 1

Step-by-step explanation:

We are going to find prime factors of 7688

7688=2×3844

=2×2×1922

=2×2×2×961

=2×2×2×31×31

Now, we are going to make a group of equal number.

=(2×2)×(31×31)×2

By observation, 2 prime factor left out.

So, multiply by 2 we get,

7688×2= (2×2)×(31×31)×(2×2)

=(2×2×31)×(2×2×31)

=124×124

=(124)

2

∴ To make perfect square we have to multiplied 7688 by 2.