Question 279550
{{{2/sqrt(3)}}}
Expressions with radicals are simplified if<ul><li>No radicand (expression within the radical) has factors which are powers of the type of radical. For square roots this means that there are no perfect square factors in any radicands.</li><li>There are no radicals in a denominator</li><li>There are no fractions within a radicand.</li></ul>
Your expression has a radical in the denominator. The denominator is just a single term and this is the easiest kind of denominator to "fix". What we need to do is figure out a number, by which we will multiply the numerator and denominator, which will turn the denominator into a perfect square.<br>
In this case we will multiply the nuerator and denominator by {{{sqrt(3)}}}:
{{{(2/sqrt(3))(sqrt(3)/sqrt(3))}}}
This simplifies to:
{{{2sqrt(3)/(sqrt(3))^2}}}
or
{{{2sqrt(3)/3}}}
This expression passes all three tests for a simplified radical expression.