Simplifying Radicals
Adding and Subtracting Radicals
Multiplying Radicals
Application Problems
100
Simplify the following radical: √ 18.
3√ 2
100
2sqrt6 +3sqrt54
11 sqrt 6
100
Multiply the following radicals:
-4sqrt15 times -sqrt3
12sqrt5
100
Calculate the area of this garden.
120
200
Simplify the following radical: √ 54.
3√ 6
200
Add the following radicals: 4√3 + 2√3 + 7√3.
13 sqrt 3
200
-sqrt5 cdot sqrt10
-5sqrt2
200
Calculate the perimeter of this garden.
16sqrt10
300
Simplify the following radical: 4√ 80.
16√ 5
300
Subtract the following radicals: 6√5 - √125.
√5
300
Multiply the following radicals:
sqrt3(5 + sqrt3)
5sqrt3 + 3
300
Suppose the total length of the truck and trailer is given by the expression 8sqrt153 . If the trailer measures 4sqrt68 ,calculate the radical expression for the remaining length of the truck (x).
16sqrt17
400
Simplify the following radical: 3√ 63.
9√ 7
400
Simplify:
sqrt8 + sqrt98 - sqrt 72 - sqrt32
-√2
400
Multiply the following radicals
sqrt3(-5sqrt10 + sqrt6)
-5sqrt30 + 3sqrt2
400
How much bigger is the area of Liz's garden than Alissa's garden?
24sqrt3
500
Simplify the following radical:
sqrt 480
4 sqrt 30
500
Simplify:
(7sqrt18 +2sqrt25 - 3sqrt72) -(sqrt16 -sqrt50)
6 + 8√2
500
Multiply the following radicals:
(-2-3sqrt5)(5-sqrt5)
5-13sqrt5
500
The Basketball players warm up by running around the track three times. How far will they run?
30sqrt6+48sqrt2