Find the least number whitch must be added to196201 so as to get perfect square. Also find the sqare root of the quotient so obtained

By finding the square root of 196201 by division method, we obtain

When we found √196201 by long division method, we obtain the remainder as 837.

This shows 442^{2} < 196201

The next perfect square to 442^{2} is 443^{2}.

Since, 443^{2} = 196249

Therefore, 196249 is the perfect square which is greater than 196201.

196249 – 196201 = 48

Therefore, 48 should be added to 196201 so that the result is a perfect square.

⇒ 196201 + 48 = 196249

Now, √196249 = 443

Therefore, the square root of the perfect square is 443.

In the same manner square root of quotient i.e., 442 is find out using long division method.

Try solving it yourself and if you face any difficulty then do get back to us.

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