Which of the following is not an irrational number $5 \sqrt{5}$ $5sqrt5$ , $\sqrt{2}$ $sqrt2$ , $4 \sqrt{4}$ $4sqrt4$ , $4 \sqrt{16}$ $4sqrt16$ ?

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Which of the following is not an irrational number $5 \sqrt{5}$ $5sqrt5$ , $\sqrt{2}$ $sqrt2$ , $4 \sqrt{4}$ $4sqrt4$ , $4 \sqrt{16}$ $4sqrt16$ ?

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Answer 1 · 2015-04-13T13:22:32

Both $\sqrt{4}$ $sqrt(4)$ and $\sqrt{16}$ $sqrt(16$ can be written as rational values
$\sqrt{4} = 2$ $sqrt(4) = 2$
and
$\sqrt{16} = 4$ $sqrt(16) = 4$
So both $4 \sqrt{4}$ $4sqrt(4)$ and $4 \sqrt{16}$ $4sqrt(16)$ are rational.

$5 \sqrt{5}$ $5sqrt(5)$ and $\sqrt{2}$ $sqrt(2)$ are both irrational.

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Which of the following is not an irrational number $5 \sqrt{5}$ $5sqrt5$ , $\sqrt{2}$ $sqrt2$ , $4 \sqrt{4}$ $4sqrt4$ , $4 \sqrt{16}$ $4sqrt16$ ?

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Which of the following is not an irrational number $5 \sqrt{5}$ $5sqrt5$ , $\sqrt{2}$ $sqrt2$ , $4 \sqrt{4}$ $4sqrt4$ , $4 \sqrt{16}$ $4sqrt16$ ?