Q:

What is the following quotient? ^3 square root 60 over ^3 square root of 20

Accepted Solution

A:
3sqrt(60)      sqrt(4*15)        sqrt(15)      sqrt(15)(sqrt(5)      sqrt(75)
------------- = ----------------- = ----------- or --------------------- = ---------------
3sqrt(20)       sqrt(4*5)         sqrt(5)         sqrt(5)*sqrt(5)            5
                           
                           sqrt(25)*sqrt(3)       sqrt(3)
This reduces to ----------------------  = -------------
                                         5

What exactly do you mean by " ^3 ?"  That's not standard math'l notation.


Here's a different and better approach:

3 sqrt(60)
-------------- = sqrt(60/20) = sqrt(3) (answer)
3 sqrt(20)