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

Updated: 4/28/2022

Wiki User

13y ago

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.

Wiki User

13y ago

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Q: What are rational numbers whose square roots are whole numbers called?
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### 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 are rational numbers?

Some square roots are rational but the majority are not.

### 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 all square roots are irrational numbers?

No. The square roots of perfect squares are 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.

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

They are perfect squares.

### 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.

### Is the square root of 16 an irrational or rational number?

The square roots of 16 are +4 and -4 . They're both rational numbers.

### Is the square root of three irrational or rational?

The square roots of three are examples of irrational numbers.

### What are positive square roots called?

They are called real numbers. Negative square roots must be complex numbers.

### 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.

### Why is it the square root of 9 is a rational numbers?

The square roots of 9 are &Acirc;&plusmn;3. These can be written in the form of ratios &Acirc;&plusmn;3/1 and, consequently, are rational numbers.