Is $\frac{\sqrt{16}}{2}$ $sqrt16 / 2$ rational or irrational?

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Answer 1 · 2017-04-09T20:57:20

Rational, because when simplified it can be expressed as a fraction.

The square root of 16 is 4, so
$\frac{\sqrt{16}}{2} = \frac{4}{2}$ $sqrt(16)/2 = 4/2$

Simplify...
$\frac{4}{2} = \frac{2}{1}$ $4/2 = 2/1$

This is a fraction (although one would usually write is as just "2"), and so the number is rational.

Is sqrt16 / 2√162sqrt16 / 2 rational or irrational?