Question

Is the square root of 13 a rational number?

Answer 1

`sqrt13 " is an irrational number."`

Explanation:

No, `sqrt13` is an infinite non-recurring decimal. 13 is not a perfect square and therefore does not have an exact square root.

It is an irrational number, along with numbers such as `pi, sqrt20, sqrt 33, sqrt8, e, etc`

`sqrt13` cannot be written as a ratio of integers and as a result cannot be written as a fraction, which is the definition of a rational number.

Rational numbers include the Integers (positive and negative whole numbers) the fractions, and all the terminating and recurring decimals.

`3/4, -26, 11/3, 2/9, 3 5/8, -204, etc`