Question

What number should be added to 100000 to make it a perfect square

Answer 1

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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