Add or subtract by first simplifying each radical and then combining any like radicals. Assume that all variables represent positive numbers.
-$\sqrt { 144 } + \sqrt { 98 } + \sqrt { 25 } + \sqrt { 32 }$
A) $\sqrt { 98 } + \sqrt { 32 } + 17$
B) $11 \sqrt { 2 } + \sqrt { 144 } + \sqrt { 25 }$
C) $65 \sqrt { 2 } + 17$
D) $11 \sqrt { 2 } + 17$

Question

Quizplus · Accepted Answer

First, simplify each radical: $\sqrt{144} = 12$, $\sqrt{98} = 7\sqrt{2}$, $\sqrt{25} = 5$, $\sqrt{32} = 4\sqrt{2}$. Combining like terms gives $12 + 5 + 7\sqrt{2} + 4\sqrt{2} = 17 + 11\sqrt{2}$.

Add or Subtract by First Simplifying Each Radical and Then 144+98+25+32\sqrt { 144 } + \sqrt { 98 } + \sqrt { 25 } + \sqrt { 32 }144​+98​+25​+32​

Add or Subtract by First Simplifying Each Radical and Then $\sqrt { 144 } + \sqrt { 98 } + \sqrt { 25 } + \sqrt { 32 }$