SOLUTION: Find the cube root of: 3√13

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Question 1042643: Find the cube root of: 3√13
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(13) is somewhere, 3%3Csqrt%2813%29%3C4. Find it any way you need to.

9%3C13%3C16;
system%283.3%5E2=10.89%2C3.4%5E2=11.56%2C3.5%5E2=12.25%2C3.6%5E2=12.96%2C3.7%5E2=13.69%29
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system%283.62%5E2=13.1044%2C13.61%5E2=13.0321%29
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sqrt(13) is somewhere between 3.6 and 3.61.

Using a calculator will give, to six figures, 3sqrt%2813%29=10.8167.

NOTE: I misread your problem. You wanted CUBED root of 3%2Asqrt%2813%29.
You would really more be able to use root%283%2C3sqrt%2813%29%29 to be between root%283%2C8%29 and root%283%2C27%29 to help find it in similar fashion.
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About 2.21154

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Find the cube root of: 3√13
Approximately: highlight_green%282.211554486%29