Question

If x=4 root 3, find the value of x+1/x

Answer 1

Answer:

$x = 4 \: \sqrt[]{3} \\ = \frac{1}{x} = \frac{1}{4 \sqrt{3} } \times \frac{4 \sqrt{3} }{ 4 \sqrt{3} } (rationalisation) \\ = \frac{ 4\sqrt{3} }{48} = \frac{1}{x} = \frac{ \sqrt{3} }{12} \\ = 4 9\sqrt{3} (after \: taking \: lcm)$