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If the square root is a whole number, then the square of the square root, the original number, is also a whole number; all whole numbers can be expressed as themselves over 1, and so are rational numbers.

The answer is thus any square number, ie the square of the natural numbers: 1 (1²), 4 (2²), 9 (3²), 16 (4²), etc.

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Q: What is a rational number whose square root is a whole number?
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Related questions

A rational number whose square root is a whole number?

A perfect square.


What is a rational whose cube root is a whole number?

How about 27 whose cube root is 3 which is a rational whole number.


What are rational numbers whose square roots are whole numbers called?

Rational numbers whose square roots are whole numbers are themselves whole numbers. They are called square numbers, e.g. 1, 4, 9, 16, 25 and so on.


What is a rational number whose cubed root is a whole number?

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What will happen to a whole number when it's multiplied by a fraction that is greater than 1?

The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.


What is a number whose square root is a rational number?

It is another rational number whose numerator and denominator (in the ratio's simplest form) are perfect squares.


What is a rational numbers whose square roots are whole numbers?

They are perfect squares.


A short note on square root of rational number?

Square root of a rational number may either be rational or irrational. For example 1/4 is a rational number whose square root is 1/2. Similarly, 4 is 4/1 which is rational and the square root is 2 which of course is also rational. However, 1/2 and 2 are rational, but their square roots are irrational. We can say the square root of a rational number is always a real number. We can also say the rational numbers whose square roots are also rational are perfect squares or fractions involving perfect squares.


A whole number whose square root is also a whole number is called what?

A perfect square.


What is a rational number whose cube root is a whole number called?

a perfect cube


What is a rational number whose cube root is a whole number?

27 is a perfect cube.


What rational number whose cubed root is a whole number?

-27 is one possible answer.