Question

etul al III-lea (30 puncte) 4 1. Calculaţi: 15 12 8 + √12 √75 √27 √48 2. Calculaţi: √54 [2(√192-√108)-(2√147-√432)].​

Answer 1

Răspuns:

Explicație pas cu pas:

1. 4/√12-15/√75+12/√27-8/√48=4/2√3-15/5√3+12/3√3-8/4√3=

2/√3-3/√3+4/√3-2/√3=2√3/3-3√3/3+4√3/3-2√3/3=√3/3

2. √54[2(√192-√108)-(2√147-√432)]=3√6[2(8√3-6√3)-(2·7√3-12√3)]=

3√6(2·2√3-2√3)=3√6·2√3=6√18=6·3√2=18√2