Simpllly the radical. sqrt (-48) square

Name: simpllly the radical. sqrt (-48) square
Brand: QuestionAI
Rating: 4.4 (249 reviews)

Question

Answer 1

To simplify the radical

, we first need to recognize that the square root of a negative number involves the imaginary unit

, where

. Given:

We can rewrite

as:

Thus:

Since

, we have:

Next, we simplify

. The number 48 can be factored into its prime factors:

Therefore:

Combining this with the imaginary unit

, we get:

So, the simplified form of the radical

is:

Question