Question 295466
{{{sqrt(27)-sqrt(49)/sqrt(3)}}}
= {{{sqrt(27) - 7/sqrt(3)}}}
= {{{sqrt(9*3) - 7/sqrt(3) * sqrt(3)/sqrt(3)}}}
= {{{sqrt(9) * sqrt(3) - 7/3 * sqrt(3)}}}
= {{{3 * sqrt(3) - 7/3 * sqrt(3)}}}
= {{{9/3 * sqrt(3) - 7/3 * sqrt(3)}}}
= {{{2/3 * sqrt(3)}}}


if the question is meant to be:
{{{(sqrt(27)-sqrt(49))/sqrt(3)}}}
then the answer will be:
{{{(sqrt(9*3)-7)/sqrt(3)}}}
= {{{(3 * sqrt(3)-7)/sqrt(3)}}}
= {{{((3 * sqrt(3)-7)/sqrt(3))*(sqrt(3)/sqrt(3))}}}
= {{{(3 * sqrt(3) * sqrt(3) - 7 * sqrt(3))/3}}}
= {{{(3 * 3 - 7 * sqrt(3))/3}}}
= {{{(9 - 7 * sqrt(3))/3}}}