Question

(3+√2)/(3-√2) = a+b√2
find a and b

Answer 1

Hey

Here is your answer,

(3+√2)/(3-√2) = a+b√2

Rationalisation :

=(3+√2)/(3-√2) x (3+√2)/(3+√2)
= (3+√2)^2 / (3)^2 - (√2)^2
=9+2+6√2 / 9-2
= 11+6√2 / 7
= a+b√2

A = 11/7
B = 6/7

Hope it helps you!

Answer 2

$(11 + 6 \sqrt{2 \: } )\div 7$
a=11/7
b=6/7