Sketch of finding the cube root
of 2 as a length using Steps 1 to 5.
It is nice to see how geometry could play a vital role in showing students the actual convergence of a sequence of numbers to cube roots
, which students only perceive as an algebra problem.
FIGURE 3 A function-box problem involving cube roots
In Out 65 5 126 ?
To appreciate the worth of this feature, take a piece of paper and graph the cube root
I asked him to give me the cube root
of 2 [square root of 2].
When p is negative, this function contains the cube root
of a negative number--discuss.
I can still break out in a stress-induced cold sore on hearing 'what's the cube root
of...' You had to be all-rounders to succeed in Ask The Family.
Dubai: Meet four-year-old Ayrus Nyl Mainali, a self-taught whiz kid who can mentally multiply double-digit numbers and calculate square roots and cube roots
faster than his parents can key them in the calculator.
So, after rearrangement, [(x - 2).sup.3] = -4/3 and this problem reduces to finding the cube roots
of -4/3, which by de Moivre's method are found to be -1.101, 0.55 - 0.953i, and 0.55 + 0.953i Now add 2 to these results to find the three roots of the original equation, viz., 0.899, 2.55 - 0.953i and 2.55 + 0.9537 It is observed that a general cubic will have three roots which when plotted in the Argand plane will form an isosceles triangle.
Proust then discusses the next phase of education: the numerical tables, which include tables of multiplication and reciprocals of regular numbers (34-66) and tables of square and cube roots
Aryabhatt described algorithms for solving intermediate equations and for finding square roots and cube roots
as well as the value of Pi.