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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 rational numbers?

No. Lots of square roots are not rational. Only the square roots of perfect square numbers are rational. So for example, the square root of 2 is not rational and the square root of 4 is rational.


Are all square roots are irrational numbers?

No. The square roots of perfect squares are rational.


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 0.0625 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.


Is the square root of 32 a rational number or an irrational number?

Irrational. All square roots of rational numbers are irrational, except perfect squares.


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.


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 0.151 rational or irrational?

The square roots are irrational.


Are all imperfect square roots repeating decimals?

Yes. Because they have to be a rational number


What are all the possible rational roots of -39?

-39 has no rational roots.


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 the square root of 0.712 rational?

No. Relatively few square roots are.


Is the square root of 68 rational or irrational?

The square roots are irrational.


Is the square root of 68 irrational or rational?

The square roots are irrational.


Why are all square roots not irrational numbers?

Because some of them are squares of rational numbers. So their square roots are the rational numbers.Thus if x is rational, then the square roots of x2, which are -x and +x are both rational.


Determine if square root is rational or irrational?

Some square roots are rational, some are irrational (and some are not even real).


Is the square root of 36 a rational or irrational number?

The square roots of 36 are ±6, therefore, sqrt(36) is a rational number.


Are square roots of positive integers rational?

Only if the integer is a perfect square.


The square root of 84 is it rational or irrational?

The square roots of 84 are irrational.


The square root of 50 is it rational or irrational?

The square roots of 50 are irrational.


Is the square root of 163 rational or irrational?

The square roots of 163 are irrational.


Is the square root of 170 a rational number?

No. The only square roots of integers that are rational numbers only when the integer is a perfect square.