SOLUTION: ``Add or subtract terms whenever possible. 2 cubed root of 192 (192 is in square root) + cubed root of 24 (twenty four is in square root) Answer choices: A.) 10 cubed root 3

Question 337678: ``Add or subtract terms whenever possible.
2 cubed root of 192 (192 is in square root) + cubed root of 24 (twenty four is in square root)
Answer choices:
A.) 10 cubed root 3
B.) 2 cubed root 216
C.) 4 cubed root 3
D.) 3 cubed root 216
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Another way of writting the cubed root is X^(-3)
So given:
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To remove numbers from under the radical, the number has to appear the number of times that the radical is raised to. For example Now the radical is raised to the second power so in order to remove a number from under the radical, the number must be there twice. Factor the 4. 4 = 2*2. Now rewrite the equation.
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So for your given equation, we need to first find the factors of 24 and 192.
Lets start with 24
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24/3 = 8
8/2 = 4
6/2 = 2
So the factors of 24 = 2*2*2*3.
Notice that the 2 shows up three times.
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Find the factors of 192.
192/8 = 24
Now we just found the factors of 24 and 8
24 = 2*2*2*3
8 = 2*2*2
So the factors of 192 = 2*2*2*3*2*2*2
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Rewrite the given equation

Since both parts are raised to the -3 degree, we can take out a number as long as it shows up 3 times.

Simplify

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