Question 134305
{{{sqrt((225c^4*d)/(18c^2))}}} Start with the given expression



{{{sqrt((25c^2*d)/(2))}}}  Reduce



{{{sqrt(25c^2*d)/sqrt(2)}}} Break up the root



{{{(5*c*sqrt(d))/sqrt(2)}}} Simplify {{{sqrt(25c^2*d)}}} to get {{{5*c*sqrt(d)}}}



{{{((5*c*sqrt(d))/sqrt(2))(sqrt(2)/sqrt(2))}}} Multiply the fraction by {{{sqrt(2)/sqrt(2)}}}



{{{sqrt(2)(5*c*sqrt(d))/2}}} Multiply and simplify



{{{(5*c*sqrt(2d))/2}}} Simplify