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Byju's Answer
Standard XII
Mathematics
Square Root of a Complex Number
Find the squa...
Question
Find the square roots of the complex number :
1
+
4
√
3
i
Open in App
Solution
Number
=
1
+
4
√
3
i
square roots
=
(
1
+
4
√
3
i
)
2
=
1
+
(
4
√
3
i
)
2
+
8
√
3
i
=
1
+
16
×
3
(
−
1
)
+
8
√
3
i
=
1
−
48
+
8
√
3
i
=
−
49
+
8
√
3
i
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1
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