Question 404367
{{{sqrt(5)(6sqrt(2)-sqrt(5))}}}
Just use the Distributive property:
{{{sqrt(5)*6sqrt(2)-sqrt(5)*sqrt(5))}}}
It should be obvious that {{{sqrt(5)*sqrt(5) = 5}}}. For the other product we use a property of radicals: {{{root(a, p)*root(a, q) = root(a, p*q)}}}
{{{6sqrt(5*2)-5}}}
which simplifies to:
{{{6sqrt(10)-5}}}
And since 10 has no perfect square factors (except 1) no more simplifying can be done. This is the answer.