Originally Posted by

**cmf0106** This section talks about how you can simplify roots by combining two properties, ill refer to as A & B.

in$\displaystyle {^n}\sqrt{a^m}$ if *m* is at least as large as *n* then this can be simplified using

Property A. $\displaystyle ({^n}\sqrt{ab})={^n}\sqrt{a} {^n\sqrt{b}}$

&

Property B. $\displaystyle {^n}\sqrt{a^n} = a$

then goes on to list this as an example.

$\displaystyle \sqrt{32x^3}=\sqrt{2^22^22^1x^2x^1}= \sqrt{2^2} \sqrt{2^2} \sqrt{x^2} \sqrt{2x} = 2 * 2x\sqrt{2x} = 4x\sqrt{2x}$

I have *no* idea whats going on here. If someone could please walk me through this it would be greatly appreciated. Many thanks.