SOLUTION: Please how to calculate the cubic root of numbers by hand.Please help me with this equation 35=3*(8.5) + (cubic root a + (169)) Please give me a detailed explanation and solu

Question 848999: Please how to calculate the cubic root of numbers by hand.Please help me with this equation
35=3*(8.5) + (cubic root a + (169))
Please give me a detailed explanation and solution to this question.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
You are trying to show according to what you wrote.

First, isolate the root(3,a).

, the parentheses not having any effect.

This is the same as ; and the result would be irrational.

There are methods to do this by hand; or you could do it in in a more simple manner using or starting from known cubes of whole numbers. You could go a bit fancier and use logarithms. No matter how to go through, the result will be an approximation.

; ; you would or could test values between 5 and 6, being something near to 5.5.
(You would find that , and ; you might then either try linear interpolation, or look for another cubic multiplication between 5.4 and 5.5.)

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