find

16^1/3
without the use of calculator plzzzz help i dont know it

3 answers

Well! The method is similar to long division. If you have learned how to do square roots by hand, this method is just an extension of tat same algorithm.

But to explain it here is not a good use of resources. If you google

cube root by hand

you will find many articles and videos on how to extract cube roots by hand. Good hunting.

Or, you can just start approximating, but a calculator will come in very handy.

For example, you know that

2^3 = 8
3^3 = 27

So, ∛16 will be between 2 and 3. Next, note that

2.5^3 = 15.625
2.6^3 = 17.576

2.51^3 = 15.813
2.52^3 = 16.003

and so on
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