Simplify.
-$\sqrt { 5 } ( \sqrt { 45 } + \sqrt { 15 } )$
A) $225 + 5 \sqrt { 3 }$
B)30
C) $15 + 25 \sqrt { 3 }$
D) $15 + 5 \sqrt { 3 }$

Question

Quizplus · Accepted Answer

First, simplify inside the parentheses: $\sqrt{45} = \sqrt{9 \cdot 5} = 3\sqrt{5}$ and $\sqrt{15} = \sqrt{3 \cdot 5} = \sqrt{3}\sqrt{5}$. So, the expression becomes $\sqrt{5}(3\sqrt{5} + \sqrt{3}\sqrt{5}) = 3\cdot 5 + 5\sqrt{3} = 15 + 5\sqrt{3}$.

Simplify - 5(45+15)\sqrt { 5 } ( \sqrt { 45 } + \sqrt { 15 } )5​(45​+15​)

Simplify
- $\sqrt { 5 } ( \sqrt { 45 } + \sqrt { 15 } )$