x + √3 = 2 হলে x-1 সমান কত?

x + √3 = 2 হলে x^-1 সমান কত?

A 2 + √3

B 1/(2 + √3)

C 1/(2 - √3)

D (1/5)

Correct Answer: Option A

x + √3 = 2
⇒ x = 2 - √3

x^-1
= 1/x
= 1/(2 - √3)
= (2 + √3)/(2 - √3)(2 + √3)
= (2 + √3)/{2²- (√3)²}
= (2 + √3)/(4 - 3)
= 2 + √3