Question

ex 11 dau coroana vă roog

Answer 1

11. a) a = 5√6 - 6√24 + 7√54 - 8√96 + 9√150

√24 = 2√6
√54 = 3√6
√96 = 4√6
√150 = 5√6


a = 5√6 - 6•2√6 + 7•3√6 - 8•4√6 + 9•5√6
a = 5√6 - 12√6 + 21√6 - 32√6 + 45√6
a = -7√6 - 11√6 + 45√6
a = -18√6 + 45√6
a = 27√6.



b = (2√3 - 3√12 + 4√27 - 7√3 + 3√75)•√2

√12 = 2√3
√27 = 3√3
√75 = 5√3


b = (2√3 - 3•2√3 + 4•3√3 - 7√3 + 3•5√3)•√2
b = (2√3 - 6√3 + 12√2 - 7√3 + 15√3)•√2
b = (-4√3 + 5√3 + 15√3)•√2
b = (√3 + 15√3)•√2
b = 16√3•√2
b = 16√6.




Ma = (a+b)/2
Ma = (27√6 + 16√6)/2
Ma = 43√6/2.


Mg = √(a•b)
Mg = √(27√6•16√6)
Mg = √(3^3•3•2^2•(√6)^2)
Mg = 3•2•6√3
Mg = 36√3.




I hope I helped you :)