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What is the radical that is a radical number?
It is a root of a number where that root cannot be made into a rational number. For example, the cuberoot(27/64) is 3/4 and so is not a radical but cuberoot(32/64) = cuberoot(1/2) = 3√(1/2) cannot be simplified or rationalised further.
How can 8 8 8 equal 6?
cuberoot(8) + cuberoot(8) + cuberoot(8) = 6
What is the cube root of 45 multiply by the cube root of 200?
9000
How do you get six from three eights?
The answer depends on the functions that you may use. A possible solution: cuberoot(8) + cuberoot(8) + cuberoot(8) = 2 + 2 + 2 = 6
How do you find the cube root of a decimal fraction?
It depends on the fraction. Sometimes it helps to convert the decimal into a rational fraction. For example, 0.296296... recurring = 296/999 = 8/27. Now so cuberoot(8/27) = cuberoot(8)/cuberoot(27) = 2/3 = 0.66... recurring. This method only works if the cuberoot is a simple rational fraction. In general, however, the best option is numerical iteration, using the Newton Raphson method. To find the cuberoot of k, let f(x) = x^3 - k. then finding the cuberoot of k is equivalent to finding the 0 of f(x). Let f'(x) = 3*x^2 [the derivative of f(x)] Start with an approximate answer, x(0). Then for n = 0, 1, 2, ... Let x(n+1) = x(n) - f(x(n))/f'(x(n)) The sequence x(0), x(1), x(2), ... will converge to the cuberoot of k. The iteration equation, given above, is much easier to read if the n and n+1 are read as suffices, but the new and "improved" browser cannot handle suffices!
