I know this may be a basic question, but I cannot seem to get the right simplification process for the following equation:
$\sqrt{36+64+5^2} + \sqrt{20}$
I do know that the correct answer is 7√5, but I cannot seem to arrive at this answer.
This is how I broke it down.
Option 1:
√105 + 2√5
Option 2:
√100 + 5 + 2√5
10 + 5 + 2√5
15 + 2√5
I appreciate feedback on where I made a mistake.
Note that $36+64+5^2=125,$ not $105$. Then $\sqrt{125}=5\sqrt 5$ and $\sqrt{20}=2\sqrt 5$ so the sum is $7\sqrt 5$