Question

investigation

1. imagine a square that has a side length of 4. what would be the area of the square?

imagine a square that has a side length of 12. what would be the area of the square?
conclusion: area of a square =

1. now imagine we have a square with an area of 9 units². what would be the side length?

what about if we had a square with an area of 100 units². what would be the side length?
conclusion: side length of a square =
→ the square root is the inverse (or opposite) operation of the exponent (squaring). in this unit, we will see how to find the square root of both perfect squares and cubes and numbers which aren’t perfect squares or cubes.
perfect squares

perfect squares	square roots	squares
4	√4 = 2	2² = 4
9	√9 = 3	3² = 9
16	√16 = 4	4² = 16
25	√25 = 5	5² = 25
36	√36 = 6	6² = 36
49	√49 = 7	7² = 49
64	√64 = 8	8² = 64
81	√81 = 9	9² = 81
100	√100 = 10	10² = 100
121	√121 = 11	11² = 121
144	√144 = 12	12² = 144
169	√169 = 13	13² = 169
196	√196 = 14	14² = 196
225	√225 = 15	15² = 225

perfect cubes

perfect cubes	cube roots		perfect cubes	cube roots
8	∛8 = 2	2³ = 8	-8	∛-8 = -2	(-2)³ = -8
27	∛27 = 3	3³ = 27	-27	∛-27 = -3	(-3)³ = -27
64	∛64 = 4	4³ = 64	-64	∛-64 = -4	(-4)³ = -64
125	∛125 = 5	5³ = 125	-125	∛-125 = -5	(-5)³ = -125
216	∛216 = 6	6³ = 216	-216	∛-216 = -6	(-6)³ = -216
343	∛343 = 7	7³ = 343	-343	∛-343 = -7	(-7)³ = -343
512	∛512 = 8	8³ = 512	-512	∛-512 = -8	(-8)³ = -512
729	∛729 = 9	9³ = 729	-729	∛-729 = -9	(-9)³ = -729
1000	∛1000 = 10	10³ = 1000	-1000	∛-1000 = -10	(-10)³ = -1000

Explanation:

Step1: Recall area formula for square

The area formula of a square is $A = s^2$, where $s$ is the side - length[SSE Completed, Client Connection Error][SSE onError error]

Answer:

Step1: Recall area formula for square

The area formula of a square is $A = s^2$, where $s$ is the side - length[SSE Completed, Client Connection Error][SSE onError error]