Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
-$( \sqrt { 5 } + \sqrt { 11 } ) ( \sqrt { 5 } - \sqrt { 11 } )$
A) $- 6$
B) $5 - 2 \sqrt { 5 }$
C) $5 - 2 \sqrt { 11 }$
D) 16

Question

Quizplus · Accepted Answer

This is an application of the difference of squares formula, $a^2 - b^2 = (a + b)(a - b)$. Here, $a = \sqrt{5}$ and $b = \sqrt{11}$, so the expression simplifies to $\sqrt{5}^2 - \sqrt{11}^2 = 5 - 11 = -6$.

Multiply, and Then Simplify If Possible (5+11)(5−11)( \sqrt { 5 } + \sqrt { 11 } ) ( \sqrt { 5 } - \sqrt { 11 } )(5​+11​)(5​−11​)

Multiply, and Then Simplify If Possible $( \sqrt { 5 } + \sqrt { 11 } ) ( \sqrt { 5 } - \sqrt { 11 } )$