Question

Sa se efectueze:
a) ( 6+√6) (3√2+4√3) (√3-√2)
b) (∛9+∛3+1) (1-∛3)

Answer 1

a) ( 6+√6) (3√2+4√3) (√3-√2) =
=(18√2+6√3+24√3+12√2)(√3-√2) =
=(30√2+30√3)(√3-√2) =
=30(√2+√3)(√3-√2) =
=30(√3+√2)(√3-√2) =
=30(3-2)=30

b) (∛9+∛3+1) (1-∛3)=
=∛9+∛3+1-∛27-∛9-∛3=
=1-∛27=
=1-3=-2