Add and Subtract Square Roots
-$\sqrt { 5 x } - 5 \sqrt { 45 x } + 2 \sqrt { 80 x }$
A) $- 6 \sqrt { 5 x }$
B) $- 6 \sqrt { 130 x }$
C) $- 3 \sqrt { 130 x }$
D) $- 3 \sqrt { 5 x }$

Question

Quizplus · Accepted Answer

The expression simplifies by factoring out square roots and combining like terms. $\sqrt{45x} = \sqrt{9*5x} = 3\sqrt{5x}$ and $\sqrt{80x} = \sqrt{16*5x} = 4\sqrt{5x}$. Substituting these into the original expression gives $\sqrt{5x} - 5(3\sqrt{5x}) + 2(4\sqrt{5x}) = \sqrt{5x} - 15\sqrt{5x} + 8\sqrt{5x} = -6\sqrt{5x}$.

Add and Subtract Square Roots - 5x−545x+280x\sqrt { 5 x } - 5 \sqrt { 45 x } + 2 \sqrt { 80 x }5x​−545x​+280x​

Add and Subtract Square Roots
- $\sqrt { 5 x } - 5 \sqrt { 45 x } + 2 \sqrt { 80 x }$