Question

find the smallest whole number by which 512 must be multiplied in order to give a perferct square? ​

Answer 1

Answer is 2

512*2=1024

32^2=1024

Answer 2

512 can be written as

256 × 2

256 is the square of 16

ie, 512 = (16)² × 2

To make it a perfect square, we should multiply it by two, so that it becomes the multiple of two perfect squares.

512 × 2 = (16)² × 2²

= 1024

Thus the smallest number that should be multiplied is 2