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Yes, of some; the square root of any perfect square is rational - for example, the square root of 4, of 9, of 16, etc.On the other hand, if your "composite number" is not a perfect square, then its square root is irrational.

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βˆ™ 6y ago
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βˆ™ 6y ago

Yes. Any perfect square which is greater than 1 is a composite number and its square root, by definition, is an integer and therefore rational.

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βˆ™ 6y ago

Some but not all.

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Q: Is the square root of any composite numbers rational?
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Related questions

Is the square root of any composite numbers irrational?

The square root of a composite number is not always an irrational number. e.g. 4 is a composite number and its square root is 41/2 = 2, which is rational number.


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.


Is the square root of a fraction a rational number?

Only if the square root of the numerator and the square root of the denominator are both rational numbers.


Is the square root are rational numbers?

Some square roots are rational but the majority are not.


Is the square root of 81 rational?

Yes. The square root of 81 is 9 - a natural number and all natural numbers are rational numbers.


Why the square root of 88 rational numbers?

They are NOT rational numbers, so the question is misguided.


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 rational number is closest to the square root of 61.93?

The square root of 61.93 is irrational. Since rational numbers are infinitely dense there cannot be a closest rational.


Rational numbers who square roots are whole numbers?

Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.


Why rational numbers require extension?

Because numbers such as pi, e and the square root of 2 are not rational.


What are three rational numbers between the square root of -26 and the square root of -15?

There are no rational numbers between sqrt(-26) and sqrt(-15). The interval comprises purely imaginary numbers.


10 example of rational irrational numbers?

Rational numbers:1, 2, 3, 4, 5, 6, 7, 8, 9, 10Irrational numbers:square root of (2)square root of (3)square root of (5)square root of (6)square root of (7)square root of (8)square root of (10)square root of (11)square root of (12)square root of (13)