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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 14 a rational number?
yes it is rational
Is the square of 2 rational number?
Yes, the square of any rational number is also a rational number.The square root of 2 is not a rational number.
Is every rational number a perfect square?
No. Though every perfect square is a rational number, not every rational number is a perfect square. Example: 2 is a rational number but sqrt(2) is not rational, so 2 is not a perfect square.
Is the square root of 29 a rational or an irrational number?
The square root of 29 is an irrational number.
Does there exist an irrational number such that its square root is rational?
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).
What is square of a rational number?
Another rational number
Is the square of 81 a rational number?
The square root of 81 is 9 which is a rational number
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 25 irrational or a rational number?
The square root of 25 is 5 which is a rational number * * * * * Or -5, which is also rational.
Is the square root of 4 irrational or rational?
It is rational. The root of a perfect square, such as 4, is rational; the root of any positive integer that is not a perfect square is an irrational number.
Is the square root of 100 rational or irrational number?
It is 10 which is a rational number.
Is the square of 32 rational?
The square root of 32 is not a rational number
Is square root of 64 a rational number?
The square root of 64 is 8 which is a rational number
