Question

cube root of 32

Answer 1

First, look at definitions:

The cube root of a number, is something which, multiplied by itself 3 times, gives the number.

Then, use the rule that roots can be distributed over products (multiplications) and quotients (divisions).

cubeRoot(a) * cubeRoot(b) = cubeRoot(ab)

cubeRoot(a) / cubeRoot(b) = cubeRoot(a/b)

Warning, this does NOT work for additions and subtractions.

32 = 2 * 2 * 2 * 2 * 2

cubeRoot(32) = cubeRoot(2 * 2 * 2 * 2 * 2) = cubeRoot(2 * 2 * 2) * cubeRoot(2*2)

If the "number" is (2 * 2 * 2), what number, multiplied by itself three times, gives (2 * 2 * 2)?

It must be 2.

cubeRoot(2 * 2 * 2) = 2

cubeRoot(32) = 2 * cubeRoot(4)