Question

6 și 7
Va rog ajutați mă

Answer 1

6.
a) 3/√32-5/2√50=3/4√2-5/10√2=3√2/8-5√2/20=3√2/8-√2/4=3√2/8-2√2/8=√2/8
b) 5/2√12+2/√75=5/4√3+2/5√3=5√3/12+2√3/15=25√3/60+8√3/60=33√3/60=
=11√3/20
c) 2/√20-3/2√45=2/2√5-3/6√5=2√5/10-3√5/30=2√5/10-√5/10=√5/10
d) 7/√24-1/2√54=7/2√6-1/6√6=7√6/12-√6/36=21√6/36-√6/36=20√6/36=5√6/9
e) 9/2√28-5/√63=9/4√7-5/3√7=9√7/28-5√7/21=27√7/84-20√7/84=7√7/84=
=√7/12
f) 7/2√75+8/√48= 7/10√3+8/4√3=7/10√3+2/√3=7√3/30+2√3/3= =7√3/30+20√3/30=27√3/30=9√3/10

7.
a) 5√2/3√3-√3/√2=5√6/9-√6/2=10√6/18-9√6/18=√6/18
b) 3√5/2√3+4√3/√5=3√15/6+4√15/5=√15/2+4√15/5=5√15/10+8√15/10=
=13√15/10
c) 4√5/3√2-√2/3√5=4√10/6-√10/15=2√10/3-√10/15=10√10/15-√10/15= =9√10/15=3√10/5
d) 8√2/3√5+3√5/√50=8√2/3√5+3√5/5√2=8√10/15+3√10/10=
=16√10/30+9√10/30=25√10/30=5√10/6
e) 6√7/5√8-6√2/√63= 6√7/10√2-6√2/3√7= 6√14/20-6√14/21=
=3√14/10-2√14/7=3√14/10-2√14/7=21√14/70-20√14/70=√14/70
f) 7√3/2√5+5√5/√12=7√3/2√5+5√5/2√3=7√15/10+5√15/6= =21√15/30+25√15/30=46√15/30=23√15/15