Find the least number which must be added to the 196201 so as to get a perfect square. also,find the square rootof the perfect square so obtained
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Answer:
√196201 by long division method = 837.
∴196249 is the perfect square which is greater than 196201.
48 should be added to 196201 so that the result is a perfect square.
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Answered by
4
Step-by-step explanation:
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 4422 < 196201
The next perfect square to 4422 is 4432.
Since, 4432 = 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
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