Problem

Find the square root of the number.
\[
\sqrt{-24}
\]

Answer

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Answer

Final Answer: The square root of -24 is \(\boxed{4.898979485566356i}\)

Steps

Step 1 :The problem is to find the square root of -24.

Step 2 :In mathematics, the square root of a negative number is not a real number, it's an imaginary number. The square root of -1 is represented by the letter 'i'.

Step 3 :So, to find the square root of -24, we need to find the square root of 24 and then multiply it by 'i'.

Step 4 :\(\sqrt{24} = 4.898979485566356\)

Step 5 :\(\sqrt{-24} = 4.898979485566356i\)

Step 6 :Final Answer: The square root of -24 is \(\boxed{4.898979485566356i}\)

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