How do you simplify the square root of – √300?

To simplify the square root of a negative number, you can express it in terms of an imaginary unit, typically denoted as "i." In this case, you want to simplify the square root of -300. Here's how you can do it:

Recognize that the square root of a negative number is equivalent to the square root of the absolute value of that number times the imaginary unit "i."

√(-300) = √(300) * i

Find the square root of the absolute value of 300:

√(300) = √(100 * 3) = √(100) * √(3) = 10√(3)

Combine the result with the imaginary unit "i" from step 1:

√(-300) = 10√(3) * i

So, the simplified square root of -300 is 10√(3)i.