# Simplify:

If 3+√7 / 3-√7 = a+b√7 find a and b

**Answer: (8, 3) **

**Solution:-**

(3 + √7)/(3 – √7) = a + b√7

(3 + √7) (3 + √7) /(3 – √7) (3 + √7) = a + b√7

{3² + (√7)² + 2 x 3 x √7}/{3² – (√7)²} = a + b√7

(9 + 7 + 6√7)/(9 – 7) = a + b√7

(16 + 6√7)/2 = a + b√7

8 + 3√7 = a + b√7

Comparing on both side,

Then, the value of a = 8 & b = 3

Hence, the correct answer is (8, 3).