MATH SOLVE

2 months ago

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)

------------- = ----------------- = ----------- 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)