Simplify.
\[
5 \sqrt{98}+\sqrt{50}
\]

Answer

Expert–verified

Hide Steps

Answer

Final Answer: \(\boxed{40\sqrt{2}}\)

Steps

Step 1 ：The given expression is \(5 \sqrt{98}+\sqrt{50}\).

Step 2 ：Break down the numbers under the square roots into their prime factors.

Step 3 ：Simplify the square roots by taking out pairs of prime factors.

Step 4 ：The simplified expression is \(40\sqrt{2}\).

Step 5 ：There are no like terms to combine.

Step 6 ：Final Answer: \(\boxed{40\sqrt{2}}\)