Name ________________________
Date ____________
Algebra I
Unit 9 Day 5 Simplifying Square and Cube Roots
42 = 4 × 4 = 16
62 = 6 × 6 = 36
16 and 36 are __________ __________ because they can be broken down to a number
times itself.
4 means the __________ __________ of 4.
4 = _____.
49 = _______
169 = _______
196 = _______
121 = _____
225 = _____
0 = _____
We cannot take the square root of a _______________ number.
4 =
Some numbers are not perfect squares.
12
between ___ and ___
109
between ___ and ___
To simplify a square root:
1) Check if it is a __________ __________.
2) If not, make a __________ __________.
3) ________ of numbers or variables go on the outside
4) _______________ numbers or variables stay on the inside.
8
24
40
50
150
72
16x 2
18x5
24x10
You try!
You try!
25x 4
48x9
32x5
121x3 y 4
24xy11
40x3 y 7
4x7 y
17x12 y8
32x3 y 6
Simplifying Cube Roots
43 = 4 × 4 × 4 = 64
23 = 2 × 2 × 2 = 8
64 and 8 are __________ ________ because they are the product of a number times
itself three times.
Perfect cubes can also be _______________.
(-7)3 = (-7) × (-7) × (-7) = -343
3
√1000 means the _______ __________ of 1000 = _____.
3
√27
3
3
√729
√−64
3
√−512
Breaking Down Cube Roots.
1) Check if it is a __________ __________.
2) If not, make a __________ __________.
3) If the number under the cube root is _______________, pull out a negative 1 first.
4) ___________ of numbers or variables go on the outside
5) One or ___________ numbers or variables stay on the inside.
3
16
3
54
3
24
You try!
3
3
24
3
27x3
3
16
64x5 y3
You try!
3
125x3
3
216x4 y9
3
48x7 y 5
3
24x
3
40x10
3
54x5