Multiply the conjugates.
-$(8+\sqrt{13})(8-\sqrt{13})$
A) $77-16 \sqrt{13}$
B) 51
C) 77
D) $77+16 \sqrt{13}$

Name: Multiply the conjugates. -$(8+\sqrt{13})(8-\sqrt{13})$ A) $77-16 \sqrt{13}$ B) 51 C) 77 D) $77+16 \sqrt{13}$
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Quizplus · Accepted Answer

When multiplying conjugates of the form $a + b$ and $a - b$, the result is $a^2 - b^2$. Here, $a = 8$ and $b = \sqrt{13}$, so the product is $8^2 - (\sqrt{13})^2 = 64 - 13 = 51$.

Multiply the Conjugates (8+13)(8−13)(8+\sqrt{13})(8-\sqrt{13})(8+13​)(8−13​) A) 77−161377-16 \sqrt{13}77−1613​ B) 51 C) 77 D) 77+161377+16 \sqrt{13}77+1613​

Multiply the Conjugates $(8+\sqrt{13})(8-\sqrt{13})$ A) $77-16 \sqrt{13}$ B) 51
C) 77
D) $77+16 \sqrt{13}$