Question

3+√7/ 5+√7 = a+b√7 find a and b​

Answer 1

Step-by-step explanation:

(3+√7)/(5+√7) = a + b√7

(3+√7)(5-√7) / 25-7 = a + b√7

(15-3√7+5√7-7)/18 = a + b√7

8 + 2√7 / 18 = a + b√7

8/18 + 2√7/18 = a + b√7

4/9 + 1/9*√7 = a + b√7

from Comparison -

a = 4/9 , b = 1/9