Question

29. Efectuați calculele: 15√7 +31-41√3+5[2√7 +3(3√3-√7)]}; b) 12√3 − 7{8√2 −4[5√3+3(4√2-3√3)]:8}; c) 5√3+3{4√² +4[3√3+2(√3−3√2)]: 20)-2√2 5 d) √32-[96-[√126-√8 (√63+√28)]}-√2 (22√14+372)​

Answer 1

Răspuns:

Explicație pas cu pas:

15√7 +31-41√3+5[2√7 +3(3√3-√7)]}=15√7+31-41√3+10√7+45√3-15√7=

=4√3+10√7+76

b) 12√3 − 7{8√2 −4[5√3+3(4√2-3√3)]:8};=12√3-7[8√2-(5√3+12√2-9√3]:2]=12√3-7(8√2+4√3-12√2):2=12√3-7(2√3-4√2)=

=12√3-14√3+28√2=28√2-2√3

d) √32-[96-[√126-√8 (√63+√28)]}-√2 (22√14+372)​=

4√2-{96-[3√14-2√2(3√7+2√7)]-√2 (22√14+372)​=

=4√2-[96-(3√14-10√14)]-22·2√7-372√2=

=4√2-96+7√14-44√7-372√2=

=7√14-44√7-368√2-96