Add or subtract. Assume all variables represent positive real numbers.
-$\sqrt { 3 } - 6 \sqrt { 75 } + 3 \sqrt { 27 }$
A) $- 3 \sqrt { 105 }$
B) $- 3 \sqrt { 3 }$
C) $- 20 \sqrt { 105 }$
D) $- 20 \sqrt { 3 }$

Question

Quizplus · Accepted Answer

First, simplify the square roots: $\sqrt{75} = \sqrt{25 \times 3} = 5\sqrt{3}$ and $\sqrt{27} = \sqrt{9 \times 3} = 3\sqrt{3}$. Substitute these back into the expression: $\sqrt{3} - 6(5\sqrt{3}) + 3(3\sqrt{3}) = \sqrt{3} - 30\sqrt{3} + 9\sqrt{3} = -20\sqrt{3}$.

Add or Subtract 3−675+327\sqrt { 3 } - 6 \sqrt { 75 } + 3 \sqrt { 27 }3​−675​+327​

Add or Subtract $\sqrt { 3 } - 6 \sqrt { 75 } + 3 \sqrt { 27 }$