Question

how to simplify the square root of 20

Answer 1

=2 square roots of 5

Answer 2

\[\sqrt{20}=\sqrt{2*2*5}=2\sqrt{5}\]

Answer 3

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.