Question

Simplify the imaginary numbers below
a) √−36

Answer 1

To simplify √−36, rewrite -36 as -1 * 36. The square root of -1 is represented by the imaginary unit 'i'. Therefore, √−36 simplifies to 6i.

Step-by-step explanation:

To simplify the imaginary number √−36, we need to find the square root of -36. The square root of -36 is not a real number, but an imaginary number.

We can rewrite -36 as -1 * 36, and the square root of -1 is represented by the imaginary unit 'i'. Therefore, the square root of -36 can be written as √(-1) * √36, which simplifies to i * 6. So, √−36 simplifies to 6i.