Question

if x=√3-1 what is the value of 1/x​

Answer 1

$x = \sqrt{3} - 1 \\ \\ \frac{1}{x} = \frac{1}{ \sqrt{3} - 1 } \\ \frac{1}{x} = \frac{1}{ \sqrt{3} - 1} \times \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1 } \\ \frac{1}{x} = \frac{ \sqrt{3} + 1}{3 - 1} \\ \frac{1}{x} = \frac{ \sqrt{3} + 1}{2}$

Answer 2

Answer:

(√3+1)/2

Step-by-step explanation:

1/X = 1/(√3-1)

Now rationalising it we get

[1×(√3+1)]/[(√3-1)(√3+1)]

(√3+1)/(√3)^2 - 1^2

= (√3+1)/2