Question

Scoateți factorii de sub radical, apoi calculați:

a) (√18+√288)-(√98+√200)=
b) 4√18+5√108-2√72=
c) 3√162-5√12-4√75+2√50=
d) -4√216+3√96-√54+2√600=

Answer 1

a) (√18+√288)-(√98+√200)=(3√2+12√2)-(7√2+10√2)=15√2-17√2=-2√2

b) 4√18+5√108-2√72=12√2+30√3-12√2=30√3

c) 3√162-5√12-4√75+2√50=27√2-10√3-20√3+10√2=37√2-30√3

 d) -4√216+3√96-√54+2√600= -24√6+12√6-3√6+20√6= 5√6