Simplify the expression. Assume all variables represent positive real numbers.
-$\sqrt { 5 x } + 8 \sqrt { 80 x } + 5 \sqrt { 180 x }$
A) $63 \sqrt { 5 x }$
B) $13 \sqrt { 265 x }$
C) $62 \sqrt { 5 x }$
D) $14 \sqrt { 265 x }$

Question

Quizplus · Accepted Answer

The expression simplifies by factoring out common terms and simplifying under the radicals: $\sqrt{5x} + 8\sqrt{80x} + 5\sqrt{180x}$ becomes $\sqrt{5x} + 8\sqrt{16*5x} + 5\sqrt{36*5x}$, which simplifies to $\sqrt{5x} + 8*4\sqrt{5x} + 5*6\sqrt{5x}$, resulting in $63\sqrt{5x}$.

Simplify the Expression 5x+880x+5180x\sqrt { 5 x } + 8 \sqrt { 80 x } + 5 \sqrt { 180 x }5x​+880x​+5180x​

Simplify the Expression $\sqrt { 5 x } + 8 \sqrt { 80 x } + 5 \sqrt { 180 x }$