Question 144153
{{{5*sqrt(24y)+3*sqrt(54y)}}} Start with the given expression


{{{5*2*sqrt(6y)+3*sqrt(54y)}}} Simplify {{{sqrt(24y)}}} to get {{{2*sqrt(6y)}}}  (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*2*sqrt(6y)+3*3*sqrt(6y)}}} Simplify {{{sqrt(54y)}}} to get {{{3*sqrt(6y)}}}



{{{10*sqrt(6y)+9*sqrt(6y)}}} Multiply 



{{{sqrt(6y)(10+9)}}} Factor out the GCF {{{sqrt(6y)}}}



{{{sqrt(6y)(19)}}} Add



{{{19*sqrt(6y)}}} Rearrange the terms



So {{{5*sqrt(24y)+3*sqrt(54y)}}} simplifies to {{{19*sqrt(6y)}}}