How do you simplify sqrt5 - sqrt6 + 3sqrt 5 - 2sqrt6?

Apr 17, 2018

$4 \setminus \sqrt{5} - 3 \setminus \sqrt{6}$

Explanation:

1. Identify like terms (color coded).
$\setminus \textcolor{c r i m s o n}{\setminus \sqrt{5}}$ $\setminus \textcolor{o l i v e}{- \setminus \sqrt{6}}$ + $\setminus \textcolor{c r i m s o n}{3 \setminus \sqrt{5}}$ $\setminus \textcolor{o l i v e}{- 2 \setminus \sqrt{6}}$

2. Organize the like terms together.
$\setminus \textcolor{c r i m s o n}{\setminus \sqrt{5}} + \setminus \textcolor{c r i m s o n}{3 \setminus \sqrt{5}}$ + $\left(\setminus \textcolor{o l i v e}{- \setminus \sqrt{6}}\right) + \left(\setminus \textcolor{o l i v e}{- 2 \setminus \sqrt{6}}\right)$

3. Combine like terms, and your expression has been simplified! :)
$\setminus \textcolor{c r i m s o n}{4 \setminus \sqrt{5}}$ + $\left(\setminus \textcolor{o l i v e}{- 3 \setminus \sqrt{6}}\right)$
Answer: $4 \setminus \sqrt{5} - 3 \setminus \sqrt{6}$