Question

find the smallest number by which 512 should be multiplied so as to get a perfect square number

Answer 1

First of all we will find the prime factors of 512.

512 = 2*2*2*2*2*2*2*2*2

In the above product one 2 is not in pair and the remaining are in pairs.
So,we multiply 2 with 512 to get a perfect square.

Perfect square number = 512*2
= 1024
√1024 = 32

Answer 2

Answer:

The smallest number by which 512 should be multiplied so as to get a perfect square number is 2.

Step-by-step explanation:

According to the question , we need to find the smallest number by which $512$ should be multiplied so as to get a perfect square number.

$512=2*2*2*2*2*2*2*2*2$$=2^{9}$$= 2^{8} * 2$

So here we can find that the number $512$ is divisible by $2^{8}$ which is a perfect square number. The remainder is $2$.

So we need to find the smallest number by which $2$ should be multiplied so as to get a perfect square number.

So the answer is 2.

#SPJ2