Question

Select all irrational numbers.

9√

12−−√
16−−√
20−−√
25−−√

Answer 1

√12 and √20 are irrational.

√12 =  3.464101615137755
√20 = 4.472135954999579

The following are not irrational:
√9 = 3
√16 = 4
√25 = 5

Answer 2

The are √12 and √20.

A rational number is a number that can be written as a fraction of two integers. Examples of rational numbers are $\frac{1}{2}$, √100.

An irrational number is a number that cannot be written as a fraction of two integers. Examples are $\frac{22}{7}$, √3

• √9 is a rational number because its square root is 3.
• √16  is a rational number because its square root is 4.
• √12  is an irrational number because its square root is 3.46.
• √20  is an irrational number because its square root is 4.47.
• √25  is an rational number because its square root is 5.

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