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No. A number will have a rational square root, only if both the numerator and denominator of the simplified fraction are squares of integers.

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Q: Are all square roots rational
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Related questions

Are all square roots are irrational numbers?

No. The square roots of perfect squares are rational.


Are all square roots rational numbers?

No, not all square roots are rational numbers. A rational number is a number that can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero. Square roots that are perfect squares, such as √4 or √9, are rational numbers because they can be expressed as whole numbers. However, square roots of non-perfect squares, such as √2 or √3, are irrational numbers because they cannot be expressed as a simple fraction.


Are all square roots of even numbers rational?

No. The square roots 8 are irrational, as are the square roots of most even numbers.


Are square roots always rational?

No. The square roots of 2, 3 and 5, for a start, are not rational.


Is The square root of 0.151 rational or irrational?

The square roots are irrational.


Is the square root of 0.0625 rational or irrational?

The square roots are rational.


Is the square root are rational numbers?

Some square roots are rational but the majority are not.


Can square roots be rational?

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


Are all imperfect square roots repeating decimals?

Yes. Because they have to be a rational number


Are uneven square roots rational or irrational why?

They are rational because the characteristic of evenness and unevenness is relevant only in the context of integers. And all integers are rational.


Is the square root of 13 irrational or rational?

The square root of 13 is irrational. All square roots of whole numbers are irrational unless the number is a perfect square.


Is square roots of 56 a rational number?

No, they are not.