Question

If x= 1÷2+√3, then x³= 1÷ x³ is equals to

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Answer 1

${{ {x}^{3} } = 1 \div x ^{3} } \\ \\ {now \: put \: the \: value \: of \: x \: which \: is \: given \: x = 1 \div 2 \sqrt{3} = \boxed{2 \sqrt{3} }} \\ \\ {(2 \sqrt{3} )^{3} = 1 \div (2 \sqrt{3} )^{3}} \\ \\ {8 \times 3 \sqrt{3} = \frac{1}{8 \times 3 \sqrt{3} } } \\ \\ {8 \times 3 \sqrt{3} - {8 \times 3 \sqrt{3} = 1}} \\ \\ { \boxed{= 1}}$