Add or subtract. Assume all variables represent positive real numbers.
-$\sqrt { 9 } + \sqrt { 180 } + \sqrt { 4 } + \sqrt { 245 }$
A) $85 \sqrt { 5 } + 5$
B) $\sqrt { 180 } + \sqrt { 245 } + 5$
C) $13 \sqrt { 5 } + \sqrt { 9 } + \sqrt { 4 }$
D) $13 \sqrt { 5 } + 5$

Question

Quizplus · Accepted Answer

First, simplify each square root: $\sqrt{9} = 3$, $\sqrt{180} = \sqrt{36 \times 5} = 6\sqrt{5}$, $\sqrt{4} = 2$, $\sqrt{245} = \sqrt{49 \times 5} = 7\sqrt{5}$. Adding these together gives $3 + 6\sqrt{5} + 2 + 7\sqrt{5} = 5 + 13\sqrt{5}$.

Add or Subtract 9+180+4+245\sqrt { 9 } + \sqrt { 180 } + \sqrt { 4 } + \sqrt { 245 }9​+180​+4​+245​

Add or Subtract $\sqrt { 9 } + \sqrt { 180 } + \sqrt { 4 } + \sqrt { 245 }$