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1. x=1+3

A. $4 + 4 \sqrt{3}$
B. $4 + 4 \sqrt{3}$
C. $4 + 4 \sqrt{3}$
D. $4 + 4 \sqrt{3}$

Answer: Option D

Explanation:

x = 1 + \sqrt{3} \Rightarrow {(x)}^{2} = {(1 + \sqrt{3})}^{3} \Rightarrow x^{3} = {(1)}^{3} + 3 {(1)}^{2} . \sqrt{3} + 3.1 {(\sqrt{3})}^{2} + {(\sqrt{3})}^{3} = 1 + 3 \sqrt{3} + 3.3 + 3 \sqrt{3} = 1 + 6 \sqrt{3} + 9 = 10 + 6 \sqrt{3}

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