What number should be added to 100000 to make it a perfect square
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The number that should be added to 100000 to make it a perfect square is 489.
Given :
Number: 100000
To Find:
The number to be added to 100000 to make it a perfect square.
Solution:
Step 1: Find the square root of 100000 by the long division method.
The long division method of 100000 is in the attachment below:
We observe that the given number 100000 is greater than (316)² and the next perfect square is (317)² or 100489.
So to make it a perfect square the number that should be added is 489 (100489 - 100000).
Hence, the required number which should be added to 100000 to obtain a perfect square is 489.
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