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Cube Root Question

Expert replies
by Aaring23 » Thu Apr 24, 2008 12:26 pm
Hey guy's I was wondering if someone could help me out with this problem. Here is the problem.

The value of Cube root -89 is.

Answer between -4 and -5.

Any help will be appreciated. Thank you.
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Source: — Problem Solving |

by luvaduva » Thu Apr 24, 2008 5:58 pm
Negative cubes and cube roots have negative values.

-89 does have a cube root of around -4.46, but it is not an integer. The range of integers that the cube root of -89 lies between is:

-4 and -5

-4^3 = -64
-5^3 = -125

HTH
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by AleksandrM » Fri Apr 25, 2008 9:42 am
Aaring,

This kind of a problem is useful to know because you will sometimes be asked to find a sqroot or cbroot of a number that does not have a perfect sqroot or cbroot. For example, what is the sqroot of 41. The way to look at it is as follows: 6 squared = 36 and 7 squared = 49. So the answer is somewhere between 6 and 7. Since 42 is closer to 36 than it is to 49, a good approximation might be 6.4.
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