Simplify this fraction

Question

simplify sqrt20k^2m 

(all of the numbeRs are under the radical. please break it down and explain it. 

Answer 1

√(20k^2m) = √20•√(k^2m) = 2√5•k^m

where the fat multiply dot separates two factors i.e. 

two times square root of five, then times the m^th power of k.

Answer 2

√(20k²m)

 

 

Break up the radical by its factors.

 

√(4)√(5)√(k²)√(m) =

 

 

Two of these factors are perfect squares: 4 and k².  The expression reduces to

 

2k√(5m)