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It need not be. For example a square with area 2 has sides of sqroot(2)

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13y ago

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Can square roots be rational?

The square root of 16 is rational. The answer would be 4, so, yes; they can be rational.


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.).


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If x is irrational what would x be if x squared is rational?

It would simply be the irrational square root of a rational number. There is no special name for it.


Is The square root of 0.151 rational or irrational?

The square roots are irrational.


Is a nun perfect square rational?

A non-square rational number is a rational number that cannot be expressed as the square of any rational number. For example, ( \frac{2}{3} ) is a non-square rational number because there are no rational numbers whose square equals ( \frac{2}{3} ). In general, any rational number that does not have a perfect square as its numerator and denominator is considered a non-square 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 the square root of 12 a rational number?

The square root of 12 is not a rational number. In fact, it is a radical number. It's simplified form would be 2 multiplied by the square root of 3.


Is the square root of -144 rational or irrational?

It is irrational, because it is not a perfect square. For example, if you have a number that is perfect like the square root of 100, it would be 10, which is a rational number. An irrational number like 16.4 which would be a not so accurate result like 6.447583839, those are irrational numbers. Hope this helps!


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 1000 rational?

No, the square root of 1000 is not rational.


Is the square root of 37 rational?

is the square root of 3 rational