Question

is
$\sqrt{2 \: \times \sqrt{8} }$
is a rational or
rational or irrational
justify​

Answer 1

Answer:

$\sqrt{2 \times \sqrt{8} } \: is \: an \: irrational \: number.$

Step-by-step explanation:

We know that ,

$\sqrt{8} \: is \:not \: a \: perfect \: square \: \\ and \: hence \: \\ it \: is \: an\: irrational \: number.....$So any number multiplied to an irrational number [except 0 ] is irrational. THEREFORE,

$\sqrt{2 \times \sqrt{8} } \: \: is \: an \: irrational \: number.$

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