Algebra 2 - Simplifying square roots to prepare for imaginary numbers, root(9), root(20)

The video tutorial reviews the concept of square roots, starting with perfect squares like sqrt 9, which equals 3. It then explores non-perfect squares, such as sqrt 20, which cannot be simplified to an integer and is therefore irrational. The tutorial explains how to simplify such square roots by factoring them into products of square numbers, using sqrt 4 as an example. The session concludes with a practice on simplifying square roots.

What is the square root of 9?

• 2

• 3

• 5

• 4

Which of the following numbers is an example of an irrational number?

• Square root of 4

• Square root of 9

• Square root of 20

• Square root of 16

What does it mean if a number is irrational?

• It can be expressed as a fraction

• It has a repeating decimal

• It has a non-repeating, non-terminating decimal

• It is a whole number

How can the square root of 20 be simplified?

• As the square root of 2 times 10

• As the square root of 4 times 5

• As the square root of 5 times 4

• As the square root of 10 times 2

What is the simplified form of the square root of 4?

• 2

• 3

• 1

• 4