Question

Find the value of a and b if a + b √3 = (2+ √3)/(2- √3) .

Answer 1

Answer:

Step-by-step explanation:

By rationalising the denominator u get (2+√3)^2/(4-3)

(Using (a+b)(a-b)=a^2-b^2),

(2+√3)(2-√3)=4-3=1.

Now open the numerator by using (a+b)^2=a^2+ b^2+ 2ab.

U get the answer 7+4√3.

Comparing with a+b√3, u get a=7 and b=4.