Question

Find the value of a and b if 3+ root 2 upon 3-root 2= a+b root 2

Answer 1

Answer:

(3+√2)/(3-√2)=a+b√2

rationalize it

then (3+√2)*(3+√2)/(3+√2)*(3-√2)

9+2+6√2=7[a+b√2]

11+6√2=7a+7b√2

a=11/7,b=11/6