Question

Punctele B și C
conținut complet
b) 6√72-3√162+6√32-7√18-3√8. C)3√150-2√384+5√54-6√24-4√96

Answer 1

b) 6√(2³x3²)-3√(2x3⁴)+6√2⁵-7√(2x3²)-3√2³=
6x2x3√2-3x3²√2+6x2²√2-7x3√2-3x2√2=
36√2-27√2+24√2-21√2-6√2=
√2(36-27+24-21-6)=6√2


c)3√(2x3x5²)-2√(2⁷x3)+5√(2x3³)-6√(2³x3)-4√(3x2⁵)=
3x5√6-2x2³√6+5x3√6-6x2√6-4x2²√6=
15√6-16√6+15√6-12√6-16√6=√6(15-16+15-12-16)=-14√6

Answer 2

b) 6√72-3√162+6√32-7√18-3√8=
√72=6√2 deci 6√72 ve deveni 6×6√2=36√2
√162=9√2 deci 3√162 ve deveni  3×9√2=27√2
√32=4√2 deci 6√32 ve deveni 6×4√2=24√2
√18=3√2 deci 7√18 ve deveni 7×3√2=21√2
√8=2√2 deci 3√8 ve deveni 3×2√2=6√2
acum exercitiul va fi
=36√2-27√2+24√2-21√2-6√2=
asta inseamna (36-27+24-21-6)√2=6√2

C)3√150-2√384+5√54-6√24-4√96
√150=5√6 deci 3√150 ve deveni 3×5√6=15√6
√384=8√6 deci 2√384 va deveni 2×8√6=16√6
√54=3√6 deci 5√54 va deveni 5×3√6=15√6
√24=2√6 deci 6√24 va deveni 6×2√6=12√6
√96=4√6 deci 4√96 va deveni 4×4√6=16√6
deci exercitiul va fi
=15√6-16√6+15√6-12√6-16√6= asta inseamna (15-16+15-12-16)√6=-14√6