Multiply the conjugates.
-$( \sqrt { 3 } + 1 ) ( \sqrt { 3 } - 1 )$
A) $2 - 2 \sqrt { 3 }$
B) 4
C) $2 + 2 \sqrt { 3 }$
D) 2

Name: Multiply the conjugates. -$( \sqrt { 3 } + 1 ) ( \sqrt { 3 } - 1 )$ A) $2 - 2 \sqrt { 3 }$ B) 4 C) $2 + 2 \sqrt { 3 }$ D) 2
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Question

Quizplus · Accepted Answer

Multiplying conjugates $(a + b)(a - b)$ results in $a^2 - b^2$. Here, $a = \sqrt{3}$ and $b = 1$, so the result is $(\sqrt{3})^2 - 1^2 = 3 - 1 = 2$.

Multiply the Conjugates (3+1)(3−1)( \sqrt { 3 } + 1 ) ( \sqrt { 3 } - 1 )(3​+1)(3​−1)

Multiply the Conjugates $( \sqrt { 3 } + 1 ) ( \sqrt { 3 } - 1 )$