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UPSC CDS Math Square, Roots and Surds Questions
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© examsnet.com
Question : 3
Total: 22
If
a
=
√
7
+
4
√
3
integer, then what is the maximum value of
a
+
1
a
?
[2019 CDS-II]
2
3
4
7
Validate
Solution:
a
=
√
7
+
4
√
3
=
√
(
2
)
2
+
(
√
3
)
2
+
4
√
3
=
√
(
2
+
√
3
)
2
=
2
+
√
3
=
1
a
=
1
2
+
√
3
=
2
−
√
3
⇒
a
+
1
a
=
4
© examsnet.com
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