Algebra 2 - Why do we rationalize the denominator with complex numbers, (6 + 8i)/9i

The video tutorial covers various number systems, including integers, square numbers, irrational numbers, and imaginary numbers. It explains the concept of irrational numbers and how they differ from rational numbers. The tutorial also demonstrates techniques for rationalizing denominators and introduces operations with imaginary numbers, emphasizing the importance of understanding these concepts in mathematics.

What type of number is the square root of 2?

• Complex number

• Rational number

• Imaginary number

• Irrational number

Why can't we divide a rational number by an irrational number without approximation?

• Because irrational numbers are finite

• Because irrational numbers are infinite

• Because rational numbers are infinite

• Because rational numbers are finite

What is the process called when we remove an irrational number from the denominator?

• Multiplying by zero

• Dividing by one

• Rationalizing the denominator

• Simplifying the numerator

What does the imaginary unit 'i' represent?

• The square root of 0

• The square root of 2

• The square root of 1

• The square root of -1

How do you simplify an expression with 'i' in the denominator?

• Divide by i on both numerator and denominator

• Multiply by i on both numerator and denominator

• Multiply by i on the numerator

• Divide by i on the numerator