Chapter 7: Squares, Cubes, & Roots (Big Ideas Math)
1, 8, 27, 64, and 125 are examples of _______________
perfect cubes
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, and 144 are example of _________________
perfect squares
1³
1
cube root of 1 ³√1
1
cube root of 1000 ₃√1000
10
√100
10
10³
1000
√121
11
√144
12
5³
125
√169
13
√196
14
√225
15
√256
16
√289
17
cube root of 8 ³√8
2
√4
2
√400
20
√441
21
6³
216
√625
25
3³
27
cube root of 27 ³√27
3
√9
3
7³
343
cube root of 64 ³√64
4
√16
4
cube root of 125 ³√125
5
√25
5
8³
512
cube root of 216 ³√216
6
√36
6
4³
64
cube root of 343 ³√343
7
√49
7
9³
729
2³
8
cube root of 512 ³√512
8
√64
8
cube root of 729 ₃√729
9
√81
9
In the expression 7² = 49, 7 is the ________________ and 49 is the _______________
Base; Perfect Square Number
square root of -16 √-16 SPECIAL RULES
No solution. Remember that the square root of a negative number can be taken at this time. But... -√16 is -4, and √16 is 4, and ±√16 is ±4. And if asked for the SQUARE ROOTS of a number you must give both the positive and the negative.
√1
1
cube root of -27 ³√-27 SPECIAL RULES
-3 Remember cubes can have negative roots. Cube roots only have one root.
