Multiply
-$(\sqrt{13}+\sqrt{3})(\sqrt{3}+\sqrt{2})$
A) $\sqrt{39}+\sqrt{26}+9+\sqrt{6}$
B) $\sqrt{39}+\sqrt{26}+3+\sqrt{6}$
C) $\sqrt{39}+\sqrt{26}+4+\sqrt{6}$
D) $\sqrt{39}+\sqrt{26}+\sqrt{3}+\sqrt{6}$

Question

Quizplus · Accepted Answer

The expression can be expanded using the distributive property: $(\sqrt{13}+\sqrt{3})(\sqrt{3}+\sqrt{2}) = \sqrt{13}\cdot\sqrt{3} + \sqrt{13}\cdot\sqrt{2} + \sqrt{3}\cdot\sqrt{3} + \sqrt{3}\cdot\sqrt{2}$. This simplifies to $\sqrt{39} + \sqrt{26} + 3 + \sqrt{6}$.