High School

Which choice is equivalent to the expression below?

\(\sqrt{-18}\)

A. \(-3\sqrt{2}/2\)
B. \(-18i\)
C. \(18i\)
D. \(3i\sqrt{2}\)
E. \(3\sqrt{2}/2i\)

Answer :

Final answer:

The equivalent expression for √-18 is 3i√2. This can be found by recognizing that the square root of a negative number involves the imaginary unit i, where i^2 = -1. Therefore correct option is E

Explanation:

The question is asking for the equivalent expression for √-18. The square root of a negative number involves a complex number, specifically i, where i is the imaginary unit with the property that i^2 = -1.

Therefore, √-18 can be rewritten as √(-1*18), which is √-1 * √18.

This simplifies to i * √18.

We further simplify √18 to 3√2, so that the expression becomes 3i√2, which is not presented in the choices given. However, if there is a typo in the choice e. 3√/2i and it is meant to be 3i√2, then that would be the correct answer.

Learn more about Complex Numbers here:

https://brainly.com/question/20566728

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