Question

Find the smallest number that needs to be subtracted from 66671 to get a perfect square

Answer 1

Answer:

107

Step-by-step explanation:

we find the square root of the number by long division method. the remainder is the answer.

Answer 2

The correct answer is 107.

Given: The number = 66671.

To Find: Smallest smallest number that needs to be subtracted from 66671 to get a perfect square.

Solution:

$250^{2} =62500$ and $260^{2}=67600$.

As we can see that the given number is greater than $250^{2}$ and less than $260^{2}$, so the nearest perfect square number should be between 250 and 260.

The perfect square which is nearest to this number is of 258.

$258^{2} =66564$

So, now subtract these two numbers and check.

66671 - 66564 = 107

Hence, the smallest number that needs to be subtracted from 66671 to get a perfect square is 107.

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