Spectra Spectra
  • 01-11-2024
  • Mathematics
College

Which choice is equivalent to the expression below?

\(\sqrt{-12}\)

A. \(12i\)

B. \(-12i\)

C. \(-2\sqrt{3}\)

D. \(2i\sqrt{3}\)

E. \(-2\sqrt{3}i\)

Answer :

keziakh004 keziakh004
  • 21-07-2024

Answer:

D. 2i√3

Step-by-step explanation:

You have the expression √-12. You can divide the number in the radical sign into the numbers that make up the expression. After you do this, you will be able to take numbers out of the radical sign

√(-12)

√(-1 × 4 × 3)

√-1 = i

√4 = 2

√3 = √3

2i√3

The answer is D.

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