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NDA Math Complex Numbers
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© examsnet.com
Question : 10
Total: 66
Which one of the following is a square root of
2
a
+
2
√
a
2
+
b
2
where
a
,
b
∈
ℝ
?
[NDA-II 2021]
√
a
+
i
b
+
√
a
−
i
b
√
a
+
i
b
−
√
a
−
i
b
2
a
+
i
b
2
a
−
i
b
, where
i
=
√
−
1
Validate
Solution:
👈: Video Solution
(a)
2
a
+
2
√
a
2
+
b
2
=
2
a
+
i
b
−
i
b
+
2
√
a
2
−
i
2
b
2
=
(
a
+
i
b
)
+
(
a
−
i
b
)
+
2
√
(
a
+
i
b
)
(
a
−
i
b
)
=
(
√
a
+
i
b
+
√
a
−
i
b
)
2
Hence, square root of
2
a
+
2
√
a
2
+
b
2
=
√
a
+
i
b
+
√
a
−
i
b
© examsnet.com
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