Question

what is a square number?

The perfect square number out of 2,3,4 and 5 is?
(a) 2
(b)3
(c)4
(d)5

Please explain the answer step by step.
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Answer 1

Answer:

the product of a number multiplied by itself, e.g. 1, 4, 9, 16.

Answer 2

A square number is the result when a number has been multiplied by itself. For example, 25 is a square number because it's 5 lots of 5, or 5 x 5. This is also written as 5² (“five squared”). 100 is also a square number because it's 10² (10 x 10, or “ten squared”).

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$2 = {2}^{2} = 2 \times 2 = 4 \\ 3 = 3 {}^{2} = 3 \times 3 = 9 \\ 4 = {4}^{2} = 4 \times 4 = 16 \\ 5 = {5}^{2} = 5 \times 5 = 25$

$2 = \sqrt{2} = in \: decimal \\ 3 = \sqrt{ 3} = in \: decimal \\ 4 = \sqrt{4} = \sqrt{2 \times 2} = 2 \\ 5 = \sqrt{5} = in \: decimal$

Therefore 4 is a perfect square.