Sqrt(-24) Show work.
because you are square rooting a negative your answer will be a complex (imaginary) number.
if you haven't dealt with these yet answer the question /not possible/
If you still want an answer square root 24 then write a lowercase i after it. the i must be lowercase
4.898979486i is your answer
To find the square root of a negative number, we need to introduce the concept of imaginary numbers. Imaginary numbers are numbers that involve the imaginary unit, denoted by "i," which is defined as the square root of -1.
To find the square root of -24, we can rewrite it as -1 * 24. Then, we can take the square root of both parts separately using the properties of the square root. This gives us:
√(-24) = √(-1 * 24)
Now, we can split it as follows:
√(-1 * 24) = √(-1) * √(24)
The square root of -1 is represented by "i," so we have:
√(-1) * √(24) = i * √(24)
Now, let's calculate the square root of 24 (√(24)):
√(24) = √(4 * 6)
√(4) represents the positive and negative square roots of 4, which are +2 and -2, so we have:
√(4 * 6) = √(4) * √(6) = +2√6
Finally, substituting this value back into our initial expression, we get:
√(-24) = i * +2√6
Hence, the square root of -24 is i * +2√6 (or written as +2i√6).