How do you find the square root of 5 to the 3rd power?

Sep 10, 2015

(sqrt5)^3approx color(green)(11.18

Explanation:

square root of 5 to the 3rd power can be written as
${\left(\sqrt{5}\right)}^{3}$

$= \sqrt{5} \cdot \sqrt{5} \cdot \sqrt{5}$

We know that color(blue)(sqrta*sqrta=a

Hence $\sqrt{5} \cdot \sqrt{5} \cdot \sqrt{5} = 5 \sqrt{5}$

$\sqrt{5} \approx 2.236$

So 5 sqrt5 approx 5*(2.236) approx color(green)(11.18