Question

Cum se face: √48 : √2 - 14√20 : √5 + 3 inmultit cu 5√6 - 4√60 : √10=? Va rog rezolvarea completa, nu doar rezultatul.

Answer 1

√48:√2-14√20:√5+3*5√6-4√60:√10=
=4√3:√2-14*2√5:√5+15√6-4*2√15:√10=
=4√3:√2-28√5:√5+15√6-8√15:√10=
=4√3/√2-28+15√6-8√15/√10=
rationalizam numitorii
=(4√3*√2)/2-28+15√6-(8√15*√10)/10=
=4√6/2-28+15√6-8√150/10=
=2√6-28+15√6-(8*5√6)/10=
=-28+17√6-40√6/10=
=-28+17√6-4√6=
=-28+13√6