Question 128326
{{{3*sqrt(12) + 4*sqrt(3)}}} =
{{{3*sqrt(4*3) + 4*sqrt(3)}}} =
{{{3*(sqrt(4)*sqrt(3)) + 4*sqrt(3)}}} =
Notice that {{{sqrt(4) = 2}}}
{{{3*2*sqrt(3) + 4*sqrt(3)}}} =
{{{6*sqrt(3) + 4*sqrt(3)}}}=
Notice that {{{sqrt(3)}}} is a common factor
{{{sqrt(3)*(6 + 4)}}} =
{{{10*sqrt(3)}}} answer
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{{{8*sqrt(5) - 2*sqrt(45)}}} =
{{{8*sqrt(5) - 2*sqrt(9*5)}}} =
{{{8*sqrt(5) - 2*(sqrt(9)*sqrt(5))}}} =
{{{8*sqrt(5) - 2*3*sqrt(5)}}} =
{{{8*sqrt(5) - 6*sqrt(5)}}} =
Notice {{{sqrt(5)}}} is a common factor
{{{sqrt(5)*(8 - 6)}}} =
{{{2*sqrt(5)}}} answer