# math

How does finding the square root of a number compare to finding the cube root of a number? Use the number 64 in your explanation.

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1. Do you want the actual algorithm to find the square root by hand ?
Here is a good expanation and example to follow.

http://www.homeschoolmath.net/teaching/square-root-algorithm.php

To find the cube root of a number is a bit more complicated and in our days is considered impractical, but here is a method explained. Look at the 2nd example scrolling down about 1/3 of the page

http://mathforum.org/library/drmath/view/52605.html

If you want to know the concept of square roots and cube roots ?
the square root of a number is that number which when multiplied by itself two times gives us that number
e.g.
√64 = x , so that (x)(x) = 64
and from our multiplication table we know that
(8)(8) = 64 , so that
√64 = 8

the cube root of a number is that number which when multiplied by itself three times gives us that number
e.g.
∛64 = x , so that (x)(x)(x) = 64 , and thus x = 4 because 4x4x4 = 64
so ∛64 = 4

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4. for 9 I wrote Any decimal which terminates is rational
any decimal which has a repeat is rational
any decimal which does not show any repeating decimals and which is never-ending is irrational

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