Question

what is the smallest number which 675should be multiplied so that the product is a perfect square

Answer 1

The smallest no. by which 675 should be multiplied so that the product is a perfect square is 3.
675×3=2025
√2025=45

Answer 2

Factors of 675 = 5 * 5 * 3 * 3 * 3

We can observe that 5 is grouped into the pair and 3 is left unpaired.

So, In order to make it a perfect square, it should be multiplied by 3.

675 * 3 = 2025.

2025 is a perfect square.

Hence the smallest number is 3.


Hope this helps! :)