Question

If x =7-4√3 then what will ne the value of x+1/x .​

Answer 1

Hi there !!

$x = 7 - 4\sqrt{3}$

Put this in x+1/x

$x + \frac{1}{x} -->7 - 4\sqrt{3} + \frac{1}{7 - 4\sqrt{3} } \times \frac{7 + 4 \sqrt{3} }{7 + 4\sqrt{3} } \\ \\ 7 - 4\sqrt{3} + \frac{7 + 4 \sqrt{3} }{ {7}^{2} + (4\sqrt{3} ){}^{2} } \\ \\ 7 - 4\sqrt{3} + \frac{7 + 4\sqrt{3} }{49 - 48} \\ \\ 7 - 4 \sqrt{3} + 7 + 4\sqrt{3} = 14$

4√3 will cancel

Answer is 14

Thankyou :)