Question

Find the least number which must be subtracted from 4216 so as to get perfect square . Also find the square root of this perfect square number

Answer 1

I hope it helps you

Answer 2

Answer:

120 and 64.

Step-by-step explanation:

Given:- The given number is 4216.

To find:- Number that must be substracted from 4216 so that a perfect square is obtained. We also need to find the square root of the perfect square number.

Solution:-

The given number is 4216.

First we will find the factors of the given number.

4216 = 2×2×2×17×31

The nearest perfect square to 4216 is 4096 and 4225.

As here we need to substract a number so we will consider the smaller one.

The number = 4216 - 4096

                     = 120

Therefore, we need to substract 120 from 4216 to obtain a perfect square.

The square root of the perfect square 4096 is 64.

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