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san4es73 [151]
3 years ago
11

Rewrite the square-root expression as an imaginary number: sqrt of -64 is it 8i?

Mathematics
2 answers:
IceJOKER [234]3 years ago
6 0
The answer is 8i.

i = √(-1)

√(-64) = √((-1) * 64)
           = √(-1) * √64
           = i * √8²
           = i * 8
           = 8i
ruslelena [56]3 years ago
3 0

Answer:

The square root of -64 is 8i

Step-by-step explanation:

Given the number -64

we have to find the square root of the above number i.e \sqrt{-64}

As

\sqrt{-64}=\sqrt{-8\times 8}

=\sqrt{-(8)^2}

=\sqrt{(-1)(8)^2}

=\sqrt{-1}\sqrt{8^2}=8i

Hence, the square root of -64 is 8i

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