Question 31 (1 point)
Simplify: $\sqrt{50}-3 \sqrt{20}+7 \sqrt{18}$
$5 \sqrt{48}$
$88 \sqrt{2}-12 \sqrt{5}$
$26 \sqrt{2}-6 \sqrt{5}$
$4 \sqrt{48}$
Answer
The simplified form of the expression \(\sqrt{50}-3 \sqrt{20}+7 \sqrt{18}\) is \(\boxed{-6 \sqrt{5} + 26 \sqrt{2}}\).
Step 1 ：The question is asking to simplify the expression \(\sqrt{50}-3 \sqrt{20}+7 \sqrt{18}\).
Step 2 ：To simplify this, we need to break down each square root into its simplest form.
Step 3 ：\(\sqrt{50}\) can be simplified to \(5\sqrt{2}\), \(\sqrt{20}\) can be simplified to \(2\sqrt{5}\), and \(\sqrt{18}\) can be simplified to \(3\sqrt{2}\).
Step 4 ：After simplifying, we can combine like terms.
Step 5 ：The simplified form of the expression \(\sqrt{50}-3 \sqrt{20}+7 \sqrt{18}\) is \(\boxed{-6 \sqrt{5} + 26 \sqrt{2}}\).
