Question

(a) If 3+√7 /3-√7=a+b√7, find a and b.
(b) Simplify : (4√28=2√7) devided by 2​

Answer 1

Step-by-step explanation:

a) (3+√7)/(3-√7)×(3+√7)/(3+√7)= a+b√7

(3+√7)^2/(3^2-√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

Hence, on comparing both sides

a=8, b=3