8.NOS.A.1: Identify a number as irrational when its decimal expansion neither terminates nor repeats, and explain that irrational numbers cannot be expressed as the ratio of two integers.

Identify a number as irrational when its decimal expansion neither terminates nor repeats, and explain that irrational numbers cannot be expressed as the ratio of two integers.

Example Problems

Rewrite the following decimal as a simplified fraction:

Is

\\sqrt{5} + \\sqrt{20}

rational or irrational?

Is

\frac{\sqrt{42}}{\sqrt{6}}

rational or irrational?

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