Simplify radical: the square root of 12^3/5

[jburgswife30]

the square root of 12^3/5

so far I have

3*2*2/5

I am not sure how to solve after this point

 

[skeeter]

do you mean ...

\(\displaystyle \L \sqrt{\frac{12^3}{5}}\)

or

\(\displaystyle \L \sqrt{12^{\frac{3}{5}}}\)

or something else?

 

[Deleted member 4993]

or

\(\displaystyle \frac{sqrt{12^3}}{5}\)

 

[jburgswife30]

Skeeter,

it is the 1st one

 

[skeeter]

\(\displaystyle \L \sqrt{\frac{12^3}{5}} = \sqrt{\frac{12^2 \cdot 2^2 \cdot 3}{5}} = 24\sqrt{\frac{3}{5}} \cdot \sqrt{\frac{5}{5}} = \frac{24}{5} \sqrt{15}\)

 

[jburgswife30]

thank you very much