Add or subtract by first simplifying each radical and then combining any like radicals. Assume that all variables represent positive numbers.
-$ \sqrt {3a }$ - 5 $ \sqrt {48a }$ - 5 $ \sqrt {75a }$
A)-44 $ \sqrt {3a }$
B)-44 $ \sqrt {126a }$
C)-10 $ \sqrt {3a }$
D)-10 $ \sqrt {126a }$

Question

Add or subtract by first simplifying each radical and then combining any like radicals. Assume that all variables represent positive numbers.
-$  \sqrt {3a }$  - 5 $  \sqrt {48a }$ - 5 $  \sqrt {75a }$ 
A)-44 $  \sqrt {3a }$
B)-44 $  \sqrt {126a }$
C)-10 $  \sqrt {3a }$
D)-10 $  \sqrt {126a }$

Quizplus · Accepted Answer

First, simplify each radical: $ \sqrt{3a} $ remains the same, $ \sqrt{48a} = \sqrt{16*3a} = 4\sqrt{3a} $, and $ \sqrt{75a} = \sqrt{25*3a} = 5\sqrt{3a} $. Combining like terms: $ \sqrt{3a} - 5(4\sqrt{3a}) - 5(5\sqrt{3a}) = \sqrt{3a} - 20\sqrt{3a} - 25\sqrt{3a} = -44\sqrt{3a} $.

Add or Subtract by First Simplifying Each Radical and Then 3a \sqrt {3a }3a​

Add or Subtract by First Simplifying Each Radical and Then $\sqrt {3a }$