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Question

The square root of 39 lies between which two natural numbers?

A
38 and 40
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B
5 and 6
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C
6 and 7
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D
7 and 8
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Solution

The correct option is C 6 and 7
As we know that 36 is the square of 6.
62=36
36=6

Also, 49 is the square of 7.
72=49
49=7

The nearest two perfect square numbers of 39 are 36 and 49, hence
36<39<49
36<39<49
6<39<7
(we got 36=6and 49=7)

From the above expression, it is clear that the square root of 39 would lie between 6 and 7.

Therefore, option (c.) is the correct answer.

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