Question

 aduceti la forma cea mai simpla
                                 -10$\sqrt{125}$+2$\sqrt{108}$+7$\sqrt{192}$-3$\sqrt{245}$

Answer 1

-10√125 + 2√108 + 7√192 - 3√245 =
Descomunem in factori primi ce se afla sub radicali:
125=5*5*5=>√125=5√5
108=2*2*3*3*3=>√108=2*3√3=6√3
192=2*2*2*2*2*2*3=>√192=2*2*2√3=8√3
245=5*7*7=>√245=7√5

-10√125+2√108+7√192-3√245 =
= -10*5√5+2*6√3+7*8√3-3*7√5=
= -50√5+12√3+56√3-21√5=
= - 71√5+68√3
=68√3 - 71√5