Question

Find the value of ‘a’ and ‘b’ in the following.
(2 + √3)/(2–√3) = a + b√3

Answer 1

Explanation:

first solve the root of the given equation

Answer 2

a = 1 and b = 4/7.

Explanation:

(2 + √3) / (2–√3) = (2 + √3)*(2 + √3) / (2 - √3) * (2 + √3)

= (2 + √3)^2 / (2^2 + √3^2)

= (4 + 3 + 4√3) / (4 + 3)

= (7 + 4√3) / 7

= 1 + 4√3/7

Given (2 + √3)/(2–√3) = a + b√3.

So  1 + 4√3/7 = a + b√3 .

We get a = 1 and b = 4/7.

Hence solved.