Question

Rezolvati folosind rationalizarea
Repede va rog

Answer 1

a)
12/√2-14/√8+16/√32-18/3√2=
=12/√2-14/2√2+16/4√2-18/3√2=
=12/√2-7/√2+4/√2-6/√2=
=3/√2=3√2/2

b)
6/√5-6/√20+6/√45-6/5√5=
=6/√5-6/2√5+6/3√5-6/5√5=
=6/√5-3/√5+2/√5-6/5√5=
=30/5√5-15/5√5+10/5√5-6/5√5=
=19/5√5=19√5/25


c)
21/10√6-28/√24+24/√150-36/3√6=
=21/10√6-28/2√6+24/5√6-36/3√6=
=21/10√6-14/√6+24/5√6-12/√6=
=21/10√6-140/10√6+48/10√6-120/10√6=
=-191/10√6=-191√6/60

folosind rationalizarea
a)
12/√2-14/√8+16/√32-18/3√2=
=12/√2-14/2√2+16/4√2-18/3√2=
=12√2/2-7√2/2+4√2/2-6√2/2=
=3√2/2

b)
6/√5-6/√20+6/√45-6/5√5=
=6/√5-6/2√5+6/3√5-6/5√5=
=6√5/5-3√5/5+2√5/5-6√5/25=
=5√5/5-6√5/25=
=√5-6√5/25=
=25√5/25-6√5/25=19√5/25


c)
21/10√6-28/√24+24/√150-36/3√6=
=21/10√6-28/2√6+24/5√6-36/3√6=
=21/10√6-14/√6+24/5√6-12/√6=
=21√6/60-14√6/6+24√6/30-12√6/6=
=21√6/60-140√6/60+48√6/60-120√6/60=
=-191√6/60