on rationalizing the denominator of +we get
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Answer:
The given fraction is
6
−
5
1
To rationalize the denominator we can multiply both numerator and denominator by
6
+
5
(the conjuate of
6
−
5
)
∴
6
−
5
1
=
(
6
−
5
)(
6
+
5
)
1×(
6
+
5
)
=
(
6
)
2
−(
5
)
2
6
+
5
....((a−b)(a+b)=a
2
−b
2
)
=
6−5
6
+
5
=
1
6
+
5
=
6
+
5
Now, comparing
6
+
5
with
a
+
5
,
we get the value of 'a' as 6.
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