Question 371976
{{{sqrt(5)(sqrt(2)-sqrt(11))}}}
Just use the Distributive Property:
{{{sqrt(5)*sqrt(2) - sqrt(5)*sqrt(11)}}}
To multiply square roots we use a property of all radicals: {{{root(a, p)*root(a, q) = root(a, p*q)}}}:
{{{sqrt(5*2) - sqrt(5*11)}}}
which simplifies to:
{{{sqrt(10)-sqrt(55)}}}
Since neither square root has a perfect square factor (other than 1), they will not simplify any further. So this is the answer.