Question 31175
{{{ 2sqrt(5)(-3sqrt(48)+7sqrt(75)) }}}


First {{{ -3sqrt(48)+7sqrt(75) }}} simplies as follows:
{{{ -3sqrt(16*3)+7sqrt(25*3) }}}
{{{ -3sqrt(16)sqrt(3)+7sqrt(25)sqrt(3) }}}
{{{ -3*4sqrt(3)+7*5sqrt(3) }}}
{{{ -12sqrt(3)+35sqrt(3) }}}
{{{ 22sqrt(3) }}}


So, {{{ 2sqrt(5)(-3sqrt(48)+7sqrt(75)) }}} becomes
{{{ 2sqrt(5)(22sqrt(3)) }}}
{{{ 44sqrt(5)sqrt(3) }}}
{{{ 44sqrt(5*3) }}}
{{{ 44sqrt(15) }}}


jon.