Question

is 2532 a perfect square if not find the smallest multiple of 2532 which is a perfect square

Answer 1

2500 is a perfect square

Answer 2

Answer:

The smallest multiple of 3528 which is a perfect square is 7056 as it is a square of 84.

Step-by-step explanation:

Given : Number 2532

To find : Is 2532 a perfect square if not find the smallest multiple of 2532 which is a perfect square?

Solution :

Any number ending in 2, 3, 7 or 8 cannot be a perfect square.

So, 2532 is not a perfect square.

We need to factorize 3528 to find out its smallest perfect square multiple.

3528 = 2 × 1764 = 2 × 42 × 42.

This means that to get a perfect square and the smallest multiple of 3528.

We simply need to multiply it by 2.

3528 × 2 = 7056 = 84 × 84.

Thus the smallest multiple of 3528 which is a perfect square is 7056 as it is a square of 84.