Question

find the value of a+b if 3+√7÷3_√7=a+b√7​

Answer 1

(3+√7)÷(3+√7)

Rationalising

[(3+√7)(3+√7)]/(3-√7)×(3+√7)

=[(3+√7)^2]/(3)^2-(√7)^2

=16+6√7/9-7

=16+6√7/2

seperate denominators

16/2+6√7/2

=8+3√7

8+3√7=a+b√7

a=8 and b=3