Question

if 3+2√2/3-2√2= a+b√2 find a and b​

Answer 1

Correct option is
C
a=
7
13
​

D
b=
7
9
​

L.H.S =
3−
2
​

3+2
2
​

​
=
(3−
2
​
)(3+
2
​
)
(3+2
2
​
)(3+
2
​
)
​

=
9−2
9+3
2
​
+6
2
​
+4
​
=
7
13
​
+
7
9
​

2
​

∴
7
13
​
+
7
9
​

2
​
=a+b
2
​

equating the rational and irrational parts:
We get a=
7
13
​
,b=
7
9
​