Question 631420
{{{ 3* sqrt( 13/3 ) }}}
Rewrite this as:
{{{ 3* sqrt(13) / sqrt(3) }}}
Now multiply top and bottom by {{{ sqrt(3) / sqrt(3) }}}
{{{ 3*( sqrt(13) / sqrt(3) )*( sqrt(3) / sqrt(3) ) }}}
{{{ (3*sqrt(13) * sqrt(3)) / ( sqrt(3)*sqrt(3) )}}}
{{{ (3*sqrt(13) * sqrt(3)) / 3 }}}
{{{ sqrt(13) * sqrt(3) }}}
{{{ sqrt(39) }}}
check answer:
{{{ 3* sqrt( 13/3 ) = sqrt(39) }}}
Square both sides
{{{ 9*(13/3) = 39 }}}
{{{ 39 = 39 }}}
OK