Question

1 point

When expressed in terms of the imaginary unit i, we can express V-3 as which of the following?

Answer 1

`√(-3)= i√(3)`

Explanation:

Given

`\sqrt{-3`

Required

Express as imaginary unit

`\sqrt{-3`

Express 3 as 3 * -1

`\sqrt{3 * -1`

Split the radical to 2

`√(3) * \sqrt{-1`

In complex numbers:

`√(-1) = i`

So, the expression:

`√(3) * √(-1)`

becomes

`√(3) * i`

`i√(3)`

Hence:

`√(-3)= i√(3)`