Multiply and simplify. $( \sqrt { 3 } + 4 ) ( \sqrt { 3 } - 4 )$
A) 25
B) 1
C) -13
D) -7
E) 19

Name: Multiply and simplify. $( \sqrt { 3 } + 4 ) ( \sqrt { 3 } - 4 )$ A) 25 B) 1 C) -13 D) -7 E) 19
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Question

Quizplus · Accepted Answer

This is an application of the difference of squares formula, $a^2 - b^2 = (a + b)(a - b)$. Here, $a = \sqrt{3}$ and $b = 4$, so the expression simplifies to $(\sqrt{3})^2 - (4)^2 = 3 - 16 = -13$.

Multiply and Simplify (3+4)(3−4)( \sqrt { 3 } + 4 ) ( \sqrt { 3 } - 4 )(3​+4)(3​−4)

Multiply and Simplify $( \sqrt { 3 } + 4 ) ( \sqrt { 3 } - 4 )$