Roots and Radicals
Presentation
•
Mathematics
•
8th Grade
•
Medium
Standards-aligned
Aimee Norman
Used 21+ times
FREE Resource
11 Slides • 16 Questions
1
2
What number times itself equals the number under the radical symbol.
Square roots
3
Square roots are the INVERSE of squaring a number.
4
5
Always a good idea to have these memorized
When the answer to the square root is a whole number.
6
Multiple Choice
15
10
11
12
7
Multiple Choice
7
8
6
5
8
Multiple Choice
What is −225
15
-15
± 15
not possible
9
Any number whose square root is NOT a whole number. (has a decimal)
10
You can approximate the square of a non-perfect square by finding what two perfect squares the number falls between.
11
Multiple Choice
2 & 3
3 & 4
4 & 5
5 & 6
12
Multiple Choice
7 & 8
6 & 7
5 & 6
4 & 5
13
Multiple Choice
The 23 is closest to which perfect square?
4
5
6
7
14
Multiple Choice
The −122 is closest to which perfect square
10
-10
11
-11
15
Every positive number has both a positive and a negative square root.
A negative number has no real square root
NO number times ITSELF will equal a negative
16
Match
Match the following
4
9
16
25
36
±2
±3
±4
±5
±6
17
Multiple Choice
The area of the square piece of paper is 324 sq inches. How long is one side of the paper.
Formula for the area of a square is
a=s2
17 inches
18 inches
19 inches
16 inches
18
Multiple Choice
The height of the observation window in the tower of the castle is 121 feet off the ground. How far can the guard see on a clear day? Use the formula d=1.22⋅h where d is the distance to the horizon in miles and h is the height of the observer.
13.42 miles
147.62 miles
12.15 miles
(to nearest hundredth)
99.18 miles
(to nearest hundredth)
19
Cubed root means what number times itself times itself equals the number under the radical sign
Cubed roots
20
When the cubed root of a number equals a whole number
Good idea to know at least 1-5
21
Multiple Choice
9
3
1/3
1
22
Multiple Choice
5
-5
25
-25
23
Multiple Choice
1
3
4
2
24
All positive numbers will have a positive cubed root.
All negative numbers have a negative cubed root
=
25
Multiple Choice
2
-2
4
-4
26
Multiple Choice
-4
4
8
-8
27
Multiple Select
Select all perfect cubes
2
8
27
64
9
Show answer
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