Problem

Add or subtract as indicated.
\[
3 \sqrt{2}+5 \sqrt{2}-2 \sqrt{2}-9
\]
\[
3 \sqrt{2}+5 \sqrt{2}-2 \sqrt{2}-9=\square
\]
(Type an exact answer, using radicals as neęded.)

Answer

Expert–verified
Hide Steps
Answer

So, the solution is \(\boxed{6 \sqrt{2}-9}\)

Steps

Step 1 :The given expression is: \(3 \sqrt{2}+5 \sqrt{2}-2 \sqrt{2}-9\)

Step 2 :We can combine like terms: \[(3 \sqrt{2}+5 \sqrt{2}-2 \sqrt{2})-9\]

Step 3 :This simplifies to: \[6 \sqrt{2}-9\]

Step 4 :So, the solution is \(\boxed{6 \sqrt{2}-9}\)

link_gpt