Question

what is 7 square root of 20 simplified to?

Answer 1

\[7\sqrt{20}\]
Remember how you can factor under the radical sign... so...
\[7\sqrt{20} = 7\sqrt{4\times5} = 7\sqrt{2\times2\times5}\]
You can then take out the square root of 4, pulling out the twos to get...
\[7\sqrt{20} = 7\times2\sqrt{5}\]
Which brings you to:
\[14\sqrt{5}\]