Tutorial - Learn what is root of a number means with even and odd roots, cuberoot(64), cuberoot(-64)

The video introduces imaginary numbers, starting with a review of cube roots, including both positive and negative numbers. It explains the limitations of square roots with negative numbers and introduces the imaginary unit 'i' to address these limitations. The video demonstrates how to express the square root of negative numbers using 'i', expanding the number system to include imaginary numbers.

What is the cube root of 64?

• 16

• 4

• 8

• 2

Which of the following is true about odd roots?

• They can be either positive or negative

• They are always imaginary

• They can only be negative

• They can only be positive

Why can't we take the square root of a negative number using the real number system?

• Because negative numbers are imaginary

• Because square roots are only defined for positive numbers

• Because multiplying two negative numbers results in a positive number

• Because negative numbers do not exist

What is the square root of -64 in terms of imaginary numbers?

• 8i

• 8

• -8i

• -8

What does the imaginary unit 'i' represent?

• The cube root of -1

• The square root of 0

• The square root of -1

• The square root of 1