Add or subtract. Simplify by collecting like radical terms, if possible.
-$\sqrt{3 \mathrm{a}}+4 \sqrt{27 \mathrm{a}}+3 \sqrt{12 \mathrm{a}}$
A) $19 \sqrt{3 a}$
B) $7 \sqrt{3 a}$
C) $19 \sqrt{42 \mathrm{a}}$
D) $7 \sqrt{42 \mathrm{a}}$

Question

Quizplus · Accepted Answer

The expression simplifies to $19 \sqrt{3a}$ by breaking down the radicals $4 \sqrt{27a} = 4 \cdot 3\sqrt{3a} = 12\sqrt{3a}$ and $3 \sqrt{12a} = 3 \cdot 2\sqrt{3a} = 6\sqrt{3a}$, then adding them together with $\sqrt{3a}$.

Add or Subtract 3a+427a+312a\sqrt{3 \mathrm{a}}+4 \sqrt{27 \mathrm{a}}+3 \sqrt{12 \mathrm{a}}3a​+427a​+312a​ A) 193a19 \sqrt{3 a}193a​

Add or Subtract $\sqrt{3 \mathrm{a}}+4 \sqrt{27 \mathrm{a}}+3 \sqrt{12 \mathrm{a}}$ A) $19 \sqrt{3 a}$