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UPSC NDA I 2015 Mathematics Solved Paper
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© examsnet.com
Question : 15
Total: 120
What is the square root of i, where
i
=
√
−
1
[NDA I 2015]
1
+
i
2
1
−
i
2
1
+
i
√
2
None of the above
Validate
Solution:
Applying Euler’s Form, we get
√
i
=
√
e
i
π
2
=
(
e
i
π
2
)
1
2
=
e
i
π
2
=
c
o
s
(
π
4
)
+
i
s
i
n
(
π
4
)
=
1
+
i
√
2
© examsnet.com
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