Question

If x = 1/√3+1 , the. Find the value of X+1/X is ?

Answer 1

Step-by-step explanation:

$5 \div \sqrt{3 + 1}$

Answer 2

Quest

If x = 1/√3+1 , the. Find the value of X+1/X is ?

$x = \frac{1}{ \sqrt{3} + 1} \times \frac{ \sqrt{3} - 1}{ \sqrt{3} - 1} = \frac{ \sqrt{3} - 1 }{2} \\ x + \frac{1}{x} = \frac{ \sqrt{3} - 1}{2} + \frac{2}{ \sqrt{3} - 1} \\ \frac{( \sqrt{3} - {1)}^{2} - 4 }{2 \sqrt{3} - 2} \\ = \frac{3 + 1 - 2 \sqrt{3} + 4 }{2 \sqrt{3} - 2 } \\ = \frac{8 - 2 \sqrt{3} - 2}{2 \sqrt{3} - 2}$