# How do you simplify sqrt(60)?

Apr 21, 2016

$2 \sqrt{15}$

#### Explanation:

1. Find factors of 60 under the root.
$\sqrt{2 \cdot 2 \cdot 5 \cdot 3} = \sqrt{60}$

2. Rewrite it in the manner of exponential numbers.
$\sqrt{{2}^{2} \cdot 5 \cdot 3}$

3. Cancel exponential numbers and roots.
$2 \sqrt{5 \cdot 3} = 2 \sqrt{15}$

Or you can write like this so it is faster:
(Find LCM, then the number that is repeated two, four, six (only even for even root)... times take in front of root.)