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What is the principal square root of -4
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What is the principal square root of -4

User Frank Rupprecht
by
8.4k points

1 Answer

4 votes

Answer:

The principal square root of -4 is 2i.

Explanation:


√(-4) = 2i

We have the following steps to get the answer:

Applying radical rule
√(-a) =√(-1) √(a)

We get
√(-4) =√(-1) √(4)

As per imaginary rule we know that
√(-1)=i

=
√(4) i

Now
√(4) =2

Hence, the answer is 2i.

User Aelius
by
9.2k points
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