Solve the problem. Give the answer as a simplified radical expression.
-Find the perimeter of a triangle with sides measuring $2 \sqrt{8}, 4 \sqrt{50}$, and $5 \sqrt{80}$ meters.
A) $24+20 \sqrt{5}$ meters
B) $24 \sqrt{2}+20$ meters
C) $24 \sqrt{2}+20 \sqrt{5}$ meters
D) $44 \sqrt{2}$ meters

Question

Quizplus · Accepted Answer

First, simplify each radical expression: $2 \sqrt{8} = 2 \sqrt{4 \cdot 2} = 4 \sqrt{2}$, $4 \sqrt{50} = 4 \sqrt{25 \cdot 2} = 20 \sqrt{2}$, and $5 \sqrt{80} = 5 \sqrt{16 \cdot 5} = 20 \sqrt{5}$. Adding these gives the perimeter: $4 \sqrt{2} + 20 \sqrt{2} + 20 \sqrt{5} = 24 \sqrt{2} + 20 \sqrt{5}$ meters.

Solve the Problem 28,4502 \sqrt{8}, 4 \sqrt{50}28​,450​ , And 5805 \sqrt{80}580​ Meters A)

Solve the Problem $2 \sqrt{8}, 4 \sqrt{50}$ , And $5 \sqrt{80}$ Meters
A)