Question

2-root3/2+root3 rationalize​

Answer 1

Answer:

(7-4√3)

Identity Used-

(a-b)²=(a²+b²+2ab)

(a+b)(a-b)=(a²-b²)

Explanation-

(i) We Have;

(2-√3)/(2+√3)

Multiply By (2-√3) in whole fraction!

(ii) (2-√3)/(2+√3)×(2-√3)/(2-√3)

(2-√3)(2-√3)/(2+√3)(2-√3)

[(2)²+(√3)²-(2)(2)(√3)]/[(2)²-(√3)²]

(7-4√3)/(4-3) = (7-4√3)

Hope It Helps!