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15 is not a PERFECT square.
So 32 = 9 < 15 < 16 = 42
That is, 15 lies between the squares of 3 and 4. Therefore, there is no integer such that its square is 15.
[Technically, you would also need to prove it for the interval (-4, -3)]
However, 15 is the square of the Irrational Numbers ±sqrt(15) = ±3.873, approx.
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Continue Learning about Math & Arithmetic
Which number is a square number is it 128 or 225 or 360 or 399?
225 is a square number.
Is the square root of 15 a whole number?
The square root of 15 is not a whole number.
What number's square root is 15?
15 is the square root of 225 (15 x 15 = 225).
Is the square root of 15 irratinal?
The square root of 15 is an irrational number
What is the square root number of 225?
15, -15
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