If $M$ is a square number, then the next immediate square number is :

M + 5

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M + 2 \sqrt{M} + 1

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M^{2} + 2 M

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None of these

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Solution

The correct option is A $M + 2 \sqrt{M} + 1$
$M + 2 \sqrt{M} + 1$
Eg : Take M = 4, a Square number.
$M + 2 \sqrt{M} + 1 = 4 + 2 \sqrt{4} + 1$
$= 4 + 2 \times 2 + 1 = 9$

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If a natural number 'm' can be expressed as $n^{2}$ , where n is a ___ number, then 'm' is a square number.

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