Question

15. Echati calculele:
a) 4√/5-2(2√5 +√3)+√12;
c)2(23+√2)(√8+2√12);
b) 5√15-3(√15+2)+4(1-√15);
d) √3(2√2-3√/3)-√2 (2√3-3√3

Answer 1

a)4✓5-2(2✓5+✓3)+✓12

=4✓5-4✓5-2✓3+2✓3

=0

b)2(23+✓2)(✓8+2✓12)

=2(23+✓2)(2✓2+4✓3)

=2(46✓2+92✓2+4+4✓6)

=92✓2+184✓2+8+8✓6

=276✓2+8+8✓6

=4(69✓2+2+2✓6)

c)✓3(2✓2-3✓3)-✓2(2✓3-3✓3)

=2✓6-9-2✓6+3✓6

=3✓6-9

=3(✓6-3)