In simplest radical form, what is sqrt845 equal to?

Apr 11, 2015

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

color(red)(sqrt845

$= \sqrt{5 \cdot 169}$

$= \sqrt{5} \cdot \sqrt{169}$ (In general, color(blue)(sqrt(a*b) = sqrt(a)*sqrt(b))

$= \sqrt{5} \cdot 13$ (Because $\sqrt{169} = 13$)

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

$\sqrt{845}$ in the Simplest Radical form is color(green)(13*sqrt(5)