Question

Efectuati:
a)√96×(√54-√150+√216)-5√225
b)√35×√63-(2√45-√80+√845.
c)√98×(√162-√450)+√12×(√108+√192)
d)62+(3√75+√432)×(√588-√6×√128)

Answer 1

a)√96×(√54-√150+√216)-5√225=
=4√6×(3√6-5√6+6√6)-5*15=
=4√6×4√6-5*15=
=16*6-5*15=96-75=21

b)√35×√63-(2√45-√80+√845)=
=21√5-(6√5-4√5+13√5)=
=21√5-15√5)=
=6√5

c)√98×(√162-√450)+√12×(√108+√192)=
=7√2×(9√2-15√2)+2√3×(6√3+8√3)=
=7√2×(-6√2)+2√3×14√3=
=-42*2+28*3=
=-84+84=0

d) 62+(3√75+√432)×(√588-√6×√128) =
=62+(15√3+12√3)×(14√3-16√3) =
=62+27√3×(-2√3)=
=62-162=-100