Question

if x=2+✓3 find the value of (x+1÷1)³​

Answer 1

$((2 + \sqrt{3}) + 1 \div 1) {}^{3}$

$(2 + \sqrt{3} + 1) {}^{3}$

$(3 + \sqrt{3} ) {}^{3}$

Using identity

(a+b)³ = a³ + b³ + 3a²b + 3ab²

$(3) {}^{3} + (\sqrt{3}) {}^{3} + 3(3) {}^{2}( \sqrt{3}) + 3(3)( \sqrt{3} ){}^{2}$

$27 + 3 \sqrt{3} + 27 \sqrt{3} + 27$

$54 + 30 \sqrt{3}$

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