Question

X=√3-1 find the value of 1/x

Answer 1

Answer:

√3+1

2

Step-by-step explanation:

Given,

x=√3-1

To find, 1/x

substitute x in 1/x,

then,

= 1/√3-1 (rationalise)

= 1 × √3+1

√3-1 √3+1

= √3+1

(√3)^2-(1)^2 (because, (a+b)(a-b)=(a^2-b^2))

= √3+1

3-1

= √3+1

2