Question

find the least number by which 3528 must be divided to get a perfect square.​

Answer 1

3528×2 =7056

7056 is square of 84

hence least no. is 84

Answer 2

1)3528 is not a perfect square because Any number ending in 2, 3, 7 or 8 cannot be a perfect square.

So First we, factorize 3528.

3528 = 2 * 2 * 2 *3 * 3 * 7 * 7.

Now we know that a perfect square should have a pair of two prime factor.

This number has 1 pair of 2, 1 factor of 2(alone), 1 pair of 3, 1 pair of 7.

So it must be multiplied by 2 to get a perfect square,

3528*2=>7056

So it is the square root of 84.

I hope it will help u buddy.

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