# How do you simplify sqrt300?

Jul 13, 2015

Try to factorise $300$ and see if there are any squares in it.
It's easy to see that $300 = 3 \cdot 100 = 3 \cdot {10}^{2}$
Now we can take the ${10}^{2}$ outside the root:
$= \sqrt{3 \cdot {10}^{2}} = \sqrt{{10}^{2}} \cdot \sqrt{3} = 10 \sqrt{3}$