Question 78878
Here's one approach to finding the negative cube root of 64:
First, find the prime factors of 64:
{{{64 = 2*2*2*2*2*2}}} Now group these into three groups as shown below.
{{{64 = highlight(2*2)*highlight(2*2)highlight(2*2)}}} Now rewrite this as:
{{{64 = 4*4*4}}} or:
{{{64 = 4^3}}} Now take the cube root of both sides:
{{{sqrt(64) = sqrt(4^3)}}} You will have to visualise the 3 on the radical for the cube root.
Cube root of 64 = 4, but you need the negative of that, so...
-cube root of 64 = -4