Question

сократите дробь:
1.$frac{6- sqrt{6} }{ sqrt{18}- sqrt{3} }$
2. $frac{16-x}{4+ sqrt{x} }$

Answer 1

$1. \ ....= frac{ sqrt{6} ( sqrt{6} -1)}{ sqrt{3}( sqrt{6}-1) }= frac{ sqrt{2}* sqrt{3} }{ sqrt{3} }= sqrt{2} \ \ 2. \ .......= frac{(4- sqrt{x} )(4+ sqrt{x} )}{4+ sqrt{x} }=4- sqrt{x}$