## anonymous 4 years ago how to simplify the square root of 20

=2 square roots of 5

2. anonymous

$\sqrt{20}=\sqrt{2*2*5}=2\sqrt{5}$

3. anonymous

Okay so steps to simply would be: First, we have a number: $\sqrt{20}$ So, check how can you factor 20 20=2*2*5 right? So, $\sqrt{20}=\sqrt{2*2*5}$ Since 2 is repeating (2x2x5-2 is 2 times) We take it out, since $\sqrt{2*2*5}=\sqrt{2*2}*\sqrt{5}$ Which is same as: $\sqrt{2*2*5}=\sqrt{4}*\sqrt{5}$ $\sqrt{4}*\sqrt{5}=2\sqrt{5}$ Which is the final answer.