Question

Is 2352 a perfect square if not find the smallest multiple of 2352 which is a perfect square also find its root?

Answer 1

You can do this by finding the prime factors of 2352

2352 = 2 * 2* 2 * 2 * 3 * 7 * 7

We see that its not a perfect square because there is only one 3. If we multiply by another 3 we will have a perfect square.

2*2*2*2*3*3*7*7 = 7056 which is the smallest perfect square as required.

square root of 7056 = 2 *2 * 3 * 7 = 84 answer