Question:
Find the least number which must be added to 306455 to obtain a perfect square.
Answer:
First let us find the square of 306455 using long division method as shown in the above figure.
Now the remainder is 646
Hence (553)2 < 306455
The next perfect square number is (554)2 = 306916
Hence, the number to be added is 306916 - 306455 = 461
Therefore 461 should be added to 306455 to get a perfect square.
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