Unit 6 Part 2 Day 2 Notes
NON-PERFECT SQUARES
Simplify: √24
Since 24 is not a perfect square, its factors are not the same. To simplify this radical, 24 needs to be
written as a product of its factors.
However, one of the factors must be a ________________________.
What is the highest factor of 24 that is also a perfect square? ______. Therefore, 24 = ____ X _____
√24 = √_____ ∙ ______ = √______ ∙ √______ = ____√______
Simplify: √32
What is the highest factor of 32 that is also a perfect square? ______. Therefore, 32 = ____ X _____
√32 = √_____ ∙ ______ = √______ ∙ √______ = ____√______
Simplify: √54
What is the highest factor of 54 that is also a perfect square? ______. Therefore, 54 = ____ X _____
√54 =
Simplify: √𝑥 5
Simplify: √50𝑥 2 𝑦
Simplify: √72𝑥 9
Unit 6 Part 2 Day 2 Notes
NON-PERFECT CUBES
3
Simplify: √54:
What is its highest factor and perfect cube the radicand? ______. Therefore, 54? = ____ X _____
3
3
3
3
√54 = √_____ ∙ ______ = √_____ ∙ √_____ =
3
Simplify: √24𝑥 8 :