How do you simplify (12sqrt5-7sqrt7)+(6sqrt5-7sqrt7)?

Jul 9, 2018

$18 \sqrt{5} - 14 \sqrt{7}$

Explanation:

The parenthesis are unnecessary, thus we have

$\textcolor{p u r p \le}{12 \sqrt{5}} \textcolor{s t e e l b l u e}{- 7 \sqrt{7}} + \textcolor{p u r p \le}{6 \sqrt{5}} \textcolor{s t e e l b l u e}{- 7 \sqrt{7}}$

Next, we can combine like terms to get

$18 \sqrt{5} - 14 \sqrt{7}$

Since our radicals have no perfect squares in them, we are done!

Hope this helps!