👤

Calculati:
1.√2 x( 4/√18+√0.(2) )+√3 x ( √0.(3)+2/√3 )=
2. √5 x(5/3√5+√0,(5)+√20/6 ) -√6 x( √0,(6) + 2√2/√3)=
3.(14/3√7- 15/2√175 )+( 3√28/4 - 2/√63 )+(√7/2 -14/√28)=
4.6√20/7√5 x( 3/2√54+√(0.1(6) )-5/√6 )=
Repede va rog, este urgent


Răspuns :

1.√2 x( 4/√18+√0.(2) )+√3 x ( √0.(3)+2/√3 )=
=√2 x( 4/3√2+√2/√9) )+√3 x ( 1/√3+2/√3 )=
=√2 x( 2√2/3+√2/3) )+√3 x  3/√3=
=√2 x 3√2/3+ 3=
=√2 x √2+ 3=
=2+3=5


 2. √5 x(5/3√5+√0,(5)+√20/6 ) -√6 x( √0,(6) + 2√2/√3)=
=
√5 x(5√5/3x5+√5/√9+2√5/6 ) -√6 x( √2/√3 + 2√2/√3)=
=√5 x(√5/3+√5/3+√5/3 ) -√6 x( 3√2/√3)=
=√5 x√5 -√6 x( 3√2x√3/3)=
=√5 x√5 -√6 x √6=
=5-6=-1


3.(14/3√7- 15/2√175 )+( 3√28/4 - 2/√63 )+(√7/2 -14/√28)=
=
(14/3√7- 15/2*5√7 )+( 3*2√7/4 - 2/3*√7 )+(√7/2 -14/2√7)=
=(14√7/3*7- 15√7/2*5*7 )+( 3√7/2 - 2√7/3*7 )+(√7/2 -14√7/2*7)=
=2√7/21- 3√7/14 + 3√7/2 - 2√7/21 +√7/2 -√7=
=- 3√7/14 + √7=
=(-3√7+14√7)/14=
=11√7/14


4.6√20/7√5 x( 3/2√54+√(0.1(6) )-5/√6 )=

=12√5/7√5 x( 3/6√6+√(0.1(6) )-5/√6 )=
0,1(6)=(16-1)/90=15/90=1/6
=12√5/7√5 x( 3/6√6+1/√6-5/√6 )=
=12/7 x( 3√6/36+√6/6-5√6/6 )=
=12/7 x(√6/12-4√6/6 )=
=12/7 x(√6/12-8√6/12 )=
=12/7 x(-7√6/12 )=
=-√6