| Simplifying Radicals | Adding Radicals | Subtracting Radicals | Adding and Subtracting Radicals | Word Problems |
|---|---|---|---|---|
|
4√2
√32
|
9√2
3√8 + 3√2
|
7√2
3√18 - 2√2
|
9√2 + 12√3
3√18 + 3√12 + 2√27
|
d= 5√6 miles
The distance, d, in miles that a person can see to the horizon can be modeled by the formula d= √3h/2 where h is the person’s height above sea level in feet. How far to the horizon can a person see if they are 100 feet above sea level?
|
|
5x^3√x
√25x^7
|
=0
-2√6 + 2√6
|
4√5
2√45 - 2√5
|
-3√2 - 2√6
-3√18 + 3√8 - √24
|
d= 6
The diagonal of a square can be expressed by the formula d = √2a , where a is the side length of the square. If the side length of a square is 18, what is length of the diagonal?
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7a^4x^6
√49a^8x^12
|
-2√5
-2√20 + 2√5
|
-7√5
-3√20 - √5
|
-4√5 - √6
-3√5 - √6 - √5
|
t= 8/6√6 hours
Meteorologists can use the formula t= √d^3/216 , where t is the time in hours and d is the the diameter of the storm in miles. How long will a storm last if it is 4 miles in diameter?
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|
4m^3n^5√2mn
√32m^7n^11
|
7√3
2√12 + √27
|
-6√3
-3√3 - 3√3
|
-9√2 + 6√5
-3√2 + 3√20 - 3√8
|
V= 40 feet per second
Scientists can approximate the velocity in feet per second of a tsunami in water of depth d (feet) with the formula v= √16d . Determine the velocity of the tsunami in 200 feet of water.
|
|
10b^2√a
√100ab^4
|
9√3
2√27 + 3√3
|
=0
3√20 - 2√45
|
3√3
√12 + √48 - √27
|
t= 6√2 seconds
The time period of a simple pendulum of length l (in feet) is given by t= 2√2l seconds. Find the time period of the pendulum of length 9ft.
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