Unit 6 Part 2 Day 1 Notes
Radical Expressions
First 12 Perfect Squares:
NUMBER MULTIPLIED
BY ITSELF
PERFECT
SQUARES
NUMBER MULTIPLIED
BY ITSELF
PERFECT
SQUARES
1X1=
___________
7X7=
___________
2X2=
___________
8X8=
___________
3X3=
___________
9X9=
___________
4X4=
___________
10 X 10 =
___________
5X5=
___________
11 X 11 =
___________
6X6=
___________
12 X 12 =
___________
A variable is a perfect square if it has an _____________ exponent.
VARIABLES MULTIPLIED
BY ITSELF
PERFECT
SQUARES
𝑥∙𝑥 =
___________
𝑥2 ∙ 𝑥2 =
___________
𝑥3 ∙ 𝑥3 =
___________
𝑥4 ∙ 𝑥4 =
___________
Taking the square root of a number is theSQUARE
_____________________________________________________
ROOTS
For example if 32 = _________, then √9 = _________. The symbol √
tells you to ______________________
__________________________________________________________________________________________
PARTS OF A RADICAL
An expression that contains a square root is a _____________________. It can have three parts.
Simplify the following radical expressions.
√100 = ___________
√𝑥 4 = ___________
√25 = ___________
√4𝑥 2 =_______________ = _______________
√141 = ___________
√81𝑥 8 𝑦 2 =_______________ = _______________
√𝑥 2 = ___________
√36𝑎6 𝑏 4 =_______________ = _______________
PERFECT CUBES
First 5 Perfect CUBES and Perfect CUBES Variables
NUMBER MULTIPLIED
BY ITSELF 3 TIMES
PERFECT
CUBES
VARIABLE MULTIPLIED
BY ITSELF 3 TIMES
PERFECT
CUBES
1X1X1=
___________
𝑥∙𝑥∙𝑥 =
___________
2X2X2=
___________
𝑥2 ∙ 𝑥2 ∙ 𝑥2 =
___________
3X3X3=
___________
𝑥3 ∙ 𝑥3 ∙ 𝑥3 =
___________
4X4X4=
___________
5X5X5=
___________
A variable is a perfect cubs if the
exponent is ________________________
__________________________________
Simplify the following radical expressions:
3
√125 = ___________
3
√27 = ___________
3
√𝑥 3 = ___________
3
√64𝑥12 = ___________