In simplest radical form, what is $sqrt845$ equal to?

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Answer 1 · 2015-04-11T09:52:57

The number $845$ is divisible by 5. It equals $5*169$

$color(red)(sqrt845$

$= sqrt(5*169)$

$= sqrt(5)*sqrt(169)$ (In general, $color(blue)(sqrt(a*b) = sqrt(a)*sqrt(b)$ )

$= sqrt(5)*13$ (Because $sqrt169 = 13$ )

$= color(green)(13*sqrt(5)$

$sqrt845$ in the Simplest Radical form is $color(green)(13*sqrt(5)$

In simplest radical form, what is sqrt845sqrt845 equal to?