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Find the smallest positive number which must be subtracted from the number 5970 for the difference to be a perfect square
Question

Find the smallest positive number which must be subtracted from the number 5970 for the difference to be a perfect square

A.

16

B.

25

C.

41

D.

9

Correct option is C

Given:

The number is 5970.

We need to find the smallest positive number to subtract from 5970 to make the difference a perfect square.

Concept Used:

5970 - x = n2^2

Solution:

First, find the square root of 5970

772^2​ = 5929

5970 - 41 = 5929

The smallest positive number to subtract is 41

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