how do i simplify radical equations?

Question

i only know how to do it somewhat using the "tree method" for example like

• √48 

                                     

1. or things like √27x5 

Answer 1

Your question is about "equations," yet the examples you give are expressions.

√ is like a cage, only numbers that are squares can get out and when they get out they get "unsqaured."

√48, firs rewrite 48 as factors that are squares

√(4 · 4 · 3)

√2² · 2² · 3)

Now the 2's can come out

2 · 2 ·√3

4√3

√48 = 4√3

 

√(27x⁵)

√9 · 3 · x² · x² · x)

√3 · 3 · x · x ·x)

√3² · 3 · x² · x² · x)

3 · x · x √3x

3x²√3x