if a =2+√3 , find the value of √a+1/√a
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Given:- a=2+
3
To find:-
a
+
a
1
=?
Sol:-
(
a
+
a
1
)
2
=a+
a
1
+2
a
+
a
1
=
(2+
3
)+
2+
3
1
+2
⇒
a
+
a
1
=
(4+
3
)+
2+
3
1
⇒
a
+
a
1
=
(4+
3
)+(
2+
3
1
×
2−
3
2−
3
)
⇒
a
+
a
1
=
4+
3
+2−
3
=
6
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