Question 171858


{{{sqrt(125/80)}}} Start with the given expression



{{{sqrt(125)/sqrt(80)}}} Break up the square root



{{{(5*sqrt(5))/sqrt(80)}}} Simplify {{{sqrt(125)}}} to get {{{5*sqrt(5)}}} (note: If you need help with simplifying square roots, check out this <a href=http://www.algebra.com/algebra/homework/Radicals/simplifying-square-roots.solver> solver</a>)



{{{(5*sqrt(5))/(4*sqrt(5))}}} Simplify {{{sqrt(80)}}} to get {{{4*sqrt(5)}}} 



{{{(5*cross(sqrt(5)))/(4*cross(sqrt(5)))}}} Cancel out the common terms.



{{{5/4}}} Simplify



So {{{sqrt(125/80)}}} simplifies to {{{5/4}}}



In other words, {{{sqrt(125/80)=5/4}}}