Question 612983
By "radical" I assume you mean square root. All roots use a radical symbol: {{{sqrt(98) {{{root(3, 7(}}} root(12, 34)}}} etc. In the future, use sqrt(15) or say "square root". The word radical is too vague.<br>
{{{15sqrt(15)/5sqrt(5)}}}
As often occurs in Math, there is more than one way to go with this. So the following is not the one and only way to simplify your expression.<br>
First thing I would do is simplify the numbers outside the square roots:
{{{(3*5*sqrt(15))/(5*sqrt(5))}}}
{{{(3*cross(5)*sqrt(15))/(cross(5)*sqrt(5))}}}
leaving:
{{{(3sqrt(15))/sqrt(5)}}}<br>
Next I would use a property of all radicals, {{{root(a, p)/root(a, q) = root(a, p/q)}}}, to merge the two square roots into one:
{{{3sqrt(15/5)}}}
The fraction inside the square root simplifies easily:
{{{3sqrt(3)}}}
And there's nothing left to do!