Pre-Calculus-Simplifying a rational expression with an imaginary root as the denominator

The video tutorial explains how to simplify expressions involving negative numbers under square roots by using imaginary numbers. It covers rewriting negative square roots, simplifying the square root of 18, and handling imaginary numbers in denominators. The tutorial concludes with final simplification steps and emphasizes the importance of these techniques in solving mathematical problems.

What is the imaginary unit 'i' defined as?

• The square root of 1

• The square root of -1

• The square root of 0

• The square root of 9

How can you simplify the expression sqrt(-9)?

• 3

• i

• 9i

• 3i

Why is it necessary to multiply by 'i' when simplifying expressions with 'i' in the denominator?

• To make the expression more complex

• To eliminate the imaginary unit from the denominator

• To convert the expression to a real number

• To increase the value of the expression

What is the result of i squared?

• -1

• i

• 1

• 0

What is the final simplified form of the expression discussed in the video?

• -3sqrt(2)i

• 3sqrt(2)i

• sqrt(2)i

• -sqrt(2)i