Question

Solve the following question

Answer 1

3+√2/3-√2 =a+b√2

Rationalisong the denominator

Multiply both numerator and denominator by 3+√2

(3+√2)(3+√2)
--------------------
(3-√2)(3+√2)

= (9+2+6√2)
----------------
9-2
= 11+6√2
---------
7


ie;

11+6√2
----------- = a + b √2
7

Equating,

a=11/7

b=6/7


Hope that helped.
^_^