How to simplfy this radical?

Question

(3)^5/2 - √48

Answer 1

I would re-write the first number in

radical form:

 

Because n^x/y = ^y√n^x, then

3^5/2 = √3⁵ (we typically don't

                 use the 2 for a square root)

 

Now, re-writing the equation you get:

√3⁵ - √48

 

To solve:

√3⁵ = √3x3x3x3x3 =  9√3

√48 = √4x4x3 = 4√3

 

Now, they are ready to subtract:

9√3 - 4√3 = 5√3

 

Go Get Your "A"