Algebra 2 - Learn how to simplify a radical with imaginary numbers, 3sqrt(-128)

The video tutorial explains how to simplify a mathematical expression involving square roots and imaginary numbers. It begins by setting up the problem and identifying the largest square number that divides into 128. The instructor then demonstrates how to simplify the expression by separating the square roots and explains the correct notation for imaginary numbers, emphasizing the importance of placing 'i' in front of the square root to avoid common mistakes.

What is the largest square number that divides 128?

• 16

• 128

• 32

• 64

What is the square root of 64?

• 6

• 9

• 7

• 8

What does the symbol 'i' represent in mathematics?

• The square root of 1

• The square root of -1

• The square root of 2

• The square root of -2

How should 'i' be placed in relation to the square root to avoid mistakes?

• After the square root

• Inside the square root

• Above the square root

• Before the square root

When multiplying numbers outside the radical, what is the result of 3 * 8?

• 26

• 24

• 28

• 21