# Can a square root be a whole number?

## Can a square root be a whole number?

Hence, square roots of perfect squares are always whole numbers. For example, square root of 36 will be 6 which is a whole number.

## Is √ 12 is a rational number?

Is Square Root of 12 Rational or Irrational? A number which cannot be expressed as a ratio of two integers is an irrational number. Thus, √12 is an irrational number.

What makes a square root rational?

The good news is that the square root of a whole number is rational precisely when it is an integer. In other words, square roots of perfect squares are integers and, therefore, rational, while square roots of other numbers are neither.

Is square root of 25 rational or irrational?

The square root of 25 is equal to 5 as 25 is a perfect square of 5. Hence, as 5 is a integer and can be expressed in the form of p/q root 25 is rational number.

### Is the square root of a whole number irrational?

When the square root of a number is a whole number, this number is called a perfect square. Many square roots are irrational numbers, meaning there is no rational number equivalent.

### Why are square roots irrational?

Let’s get back to your question. Some square roots, like √2 or √20 are irrational, since they cannot be simplified to a whole number like √25 can be. They go on forever without ever repeating, which means we can;t write it as a decimal without rounding and that we can’t write it as a fraction for the same reason.

Is the square root of 14 rational?

Therefore, the square root of 14 is irrational.

Is the square root of 25 rational or irrational?

#### Are square roots of positive integers rational?

The square root of a positive integer is either a positive integer or an irrational number, but never a non-integral rational number. Proof. Take the set of all positive integers Z + {displaystyle mathbb {Z} ^{+}} and square all its members, label the resulting set Q {displaystyle {mathcal {Q}}} .

#### Are perfect squares rational numbers?

A perfect square is a rational number that has rational square roots. All numbers have positive squares. The usage of this term is especially limited to real numbers. All numbers considered as perfect squares are nonnegative, following from the definition of the square root.

Is every rational number a perfect square?

every real number is an integer. every rational number is a real number. every rational number is a perfect square. every integer is an irrational number.

What is a ‘square root’ and a ‘real number’?

The square root of a number is the value such that,when a number multiplied by itself,for example 3 is square root of 9. and the number or expression inside the radical symbol is called the radicand.