Is the square root of 13 a rational number?

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Is the square root of 13 a rational number?

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Answer 1 · 2016-08-11T16:35:56

$\sqrt{13} is an irrational number.$ $sqrt13 " is an irrational number."$

Explanation:

No, $\sqrt{13}$ $sqrt13$ 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 $π, \sqrt{20}, \sqrt{33}, \sqrt{8}, e, e t c$ $pi, sqrt20, sqrt 33, sqrt8, e, etc$

$\sqrt{13}$ $sqrt13$ 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.

$\frac{3}{4}, - 26, \frac{11}{3}, \frac{2}{9}, 3 \frac{5}{8}, - 204, e t c$ $3/4, -26, 11/3, 2/9, 3 5/8, -204, etc$

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Is the square root of 13 a rational number?

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