Add or subtract.
-$\sqrt { 2 } + 5 \sqrt { 98 } + 4 \sqrt { 200 }$
A) $9 \sqrt { 300 }$
B) $76 \sqrt { 2 }$
C) $9 \sqrt { 2 }$
D) $76 \sqrt { 300 }$

Question

Quizplus · Accepted Answer

First, simplify each term: $\sqrt{2}$ remains as is, $5\sqrt{98}$ simplifies to $5\sqrt{2}\times\sqrt{49}=5\times7\sqrt{2}=35\sqrt{2}$, and $4\sqrt{200}$ simplifies to $4\sqrt{2}\times\sqrt{100}=4\times10\sqrt{2}=40\sqrt{2}$. Adding them together gives $\sqrt{2} + 35\sqrt{2} + 40\sqrt{2} = 76\sqrt{2}$.

Add or Subtract 2+598+4200\sqrt { 2 } + 5 \sqrt { 98 } + 4 \sqrt { 200 }2​+598​+4200​

Add or Subtract $\sqrt { 2 } + 5 \sqrt { 98 } + 4 \sqrt { 200 }$