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Sure. Let's take an example with numbers instead of variables. 8/9 is a rational number - the ratio of two integers. If you square it, you get (8/9)2 = 82/92 = 64/81; that is, if you square each integer, you get an integer again. Therefore, the resulting number is rational again - a number that can be expressed as the ratio of two integers. Replace with any other integers; you will still have a ratio of integers if you square it.
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Is the square of -8 a rational number?
The square of a negative number is always positive. The square of -8 = 64, a rational number
Is the square root of 16 a rational number or irrational number?
The square root of 16 is 4 which is a rational number
Are the square roots of all positive integers irrational If not give an example of the square root of a number that is a rational number?
The square root of any positive square number is always rational as for example the square root of 36 is 6 which is a rational number.
A rational number between 64 and 63?
.95 is a rational number or square root of 121 a rational number
Is the square root of 25 a rational number?
Yes, the square root of 25 is a rational number. A rational number is any number that can be expressed as a fraction of two integers. The square root of 25 is 5, which can be expressed as the fraction 5/1. Therefore, 5 is a rational number.
