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What has integers as a square root?
perfect squares
Which square root number is rational?
The square root of any perfect square, or a ratio of perfect squares. eg sqrt(9/25) = 3/5, is rational.
Is 120 a perfect square?
No, it is not. For it to be a perfect square, the square root of it would have to be an integer, but √120 ≈ 10.954. 100 and 121 are perfect squares nearest to 120. ■
Is 224 a perfect square?
To determine if 224 is a perfect square, we need to find its square root. The square root of 224 is approximately 14.96. Since the square root is not a whole number, 224 is not a perfect square. Perfect squares are numbers that are the result of an integer multiplied by itself, such as 9 (3x3) or 16 (4x4).
Is the square root numbers rational or irrational?
It depends. If a number is a perfect square or a ratio of perfect squares then its square root is rational. If not, the square root is irrational.For example,Consider 9/4. Since 9 and 4 are both perfect squares, the square root of their ratio is rational. sqrt(9/4) = 3/2 or 1.5. But this is less obvious if the number is presented to you as sqrt(2.25)
