Multiply
-$(7+\sqrt{3})^{2}$
A) $49+14 \sqrt{3}$
B) $52+14 \sqrt{3}$
C) $52+7 \sqrt{3}$
D) $10+14 \sqrt{3}$

Name: Multiply -$(7+\sqrt{3})^{2}$ A) $49+14 \sqrt{3}$ B) $52+14 \sqrt{3}$ C) $52+7 \sqrt{3}$ D) $10+14 \sqrt{3}$
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Question

Quizplus · Accepted Answer

To multiply $(7+\sqrt{3})^{2}$, use the formula $(a+b)^2 = a^2 + 2ab + b^2$. Here, $a=7$ and $b=\sqrt{3}$, so the calculation is $7^2 + 2*7*\sqrt{3} + (\sqrt{3})^2 = 49 + 14\sqrt{3} + 3 = 52 + 14\sqrt{3}$.

Multiply - (7+3)2(7+\sqrt{3})^{2}(7+3​)2 A) 49+14349+14 \sqrt{3}49+143​ B) 52+14352+14 \sqrt{3}52+143​ C) 52+7352+7 \sqrt{3}52+73​ D) 10+14310+14 \sqrt{3}10+143​

Multiply
- $(7+\sqrt{3})^{2}$ A) $49+14 \sqrt{3}$ B) $52+14 \sqrt{3}$ C) $52+7 \sqrt{3}$ D) $10+14 \sqrt{3}$