Simplify the expression.
-$(\sqrt{2}+6)(\sqrt{7}+4)$
A) $\sqrt{14}+24$
B) $\sqrt{14}+10 \sqrt{7}+24$
C) $11 \sqrt{14}+24$
D) $\sqrt{14}+4 \sqrt{2}+6 \sqrt{7}+24$

Question

Quizplus · Accepted Answer

The expression is expanded using the distributive property: $(\sqrt{2}+6)(\sqrt{7}+4) = \sqrt{2} \cdot \sqrt{7} + \sqrt{2} \cdot 4 + 6 \cdot \sqrt{7} + 6 \cdot 4 = \sqrt{14} + 4\sqrt{2} + 6\sqrt{7} + 24$.

Simplify the Expression (2+6)(7+4)(\sqrt{2}+6)(\sqrt{7}+4)(2​+6)(7​+4) A) 14+24\sqrt{14}+2414​+24 B) 14+107+24\sqrt{14}+10 \sqrt{7}+2414​+107​+24 C) 1114+2411 \sqrt{14}+241114​+24 D) 14+42+67+24\sqrt{14}+4 \sqrt{2}+6 \sqrt{7}+2414​+42​+67​+24

Simplify the Expression $(\sqrt{2}+6)(\sqrt{7}+4)$ A) $\sqrt{14}+24$ B) $\sqrt{14}+10 \sqrt{7}+24$ C) $11 \sqrt{14}+24$ D) $\sqrt{14}+4 \sqrt{2}+6 \sqrt{7}+24$