Multiply.
-$( \sqrt { 5 } - 3 ) ( \sqrt { 6 } - 3 )$
A) $\sqrt { 30 } - 6 \sqrt { 6 } + 9$
B) $\sqrt { 30 } + 9$
C) $- 5 \sqrt { 30 } + 9$
D) $\sqrt { 30 } - 3 \sqrt { 5 } - 3 \sqrt { 6 } + 9$

Question

Quizplus · Accepted Answer

We can use FOIL or the distributive property to get:
\begin{align*}
&( \sqrt { 5 } - 3 ) ( \sqrt { 6 } - 3 ) \
&= \sqrt{5}\sqrt{6} - 3\sqrt{5} - 3\sqrt{6} + 9 \
&= \sqrt{30} - 3\sqrt{5} - 3\sqrt{6} + 9 
\end{align*}
Therefore, the correct answer is D, which matches this expression after simplification.

Multiply - (5−3)(6−3)( \sqrt { 5 } - 3 ) ( \sqrt { 6 } - 3 )(5​−3)(6​−3)

Multiply
- $( \sqrt { 5 } - 3 ) ( \sqrt { 6 } - 3 )$