Question

Find the smallest number by 512 must be multiplied so that the product is a perfect square

Answer 1

512=2×2×2×2×2×2×2×2×2
512=(2×2)(2×2)(2×2)(2×2)×2
so we need one 2 more...
...so we will multiply 2 to 512 to get a perfect square
..
512×2=1024
which is square of 32.
..
.
if u like it mark as BRAINLIEST

Answer 2

hey
______________________________

[ first of all we need to find the prime factorisation of 512 ]

♦ Prime factors of 512
= 2×2×2×2×2×2×2×2×2

Smallest no. to be multiplied = 2

♢512×2 = 2×2×2×2×2×2×2×2×2×2

√1024 = √2×2×2×2×2×2×2×2×2×2
√1024 = 2×2×2×2×2
√1024 = 32
______________________________

I hope this answer may helps you....