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ycow [4]
4 years ago
5

Which of the following is equivalent to Square root -63

Mathematics
1 answer:
asambeis [7]4 years ago
6 0

Answer:

3i \sqrt{7}

Step-by-step explanation:

The imaginary unit is i=\sqrt{-1}.

Now 63 itself is not a perfect square but 63 does contain a factor that is.

63=9×7 and 9 is a perfect square.

So \sqrt{-63}=i \sqrt{63}.

i \sqrt{63}=i \sqrt{9 \cdot 7}=i \sqrt{9} \sqrt{7}=i(3) \sqrt{7}=3i \sqrt{7}

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