Question

12/√2 - 14√8 + 16√32 -18/3√2 =
6/√5 - 6/√20 + 6/√45 - 6/5√5 =
21/10√6 -28/√24 + 24/√150 - 36/3√6=
9/√18 - 9/√8 + 9/6√2 - 9/6√8=

Answer 1

12/√2 - 14√8 + 16√32 -18/3√2 =
=12√2/2 - 28√2 + 64√2 -18√2/6 =
=6√2 - 28√2 + 64√2 -3√2 =
=39√2


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

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

9/√18 - 9/√8 + 9/6√2 - 9/6√8=
=9/3√2 - 9/2√2 + 3/2√2 - 9/12√2=
=3/√2 - 6/2√2 - 3/4√2=
=3/√2 - 3/√2 - 3/4√2=
=- 3√2/8