Question

a)4√5(√5/4+1/2√5)-(2√6/7+√54/3-√6) × 7/√6
b) -1/2√2(3/√18+24/√72-5/√50) +14/3√7(√28/7+6/√7-15/3√7)
c) (4/√32+6/√72+8/√128+10/√200):√8
d)(√21+√14/√6+2+√35+√21/√10+√6):7/√14.
Ajutațimă va rog !

Answer 1

a)4√5(√5/4+1/2√5)-(2√6/7+√54/3-√6) × 7/√6=
=4√5(√5/4+√5/10)-(2√6/7+3√6/3-√6) × 7√6/6=
=4√5(√5/4+√5/10)-(2√6/7) × 7√6/6=
=5+2-2=5

b) -1/2√2(3/√18+24/√72-5/√50) +14/3√7(√28/7+6/√7-15/3√7)=
= -1/2√2(3/3√2+24/6√2-5/5√2) +14/3√7(2√7/7+6√7/7-5√7/7)=
= -√2/4(√2/2+24√2/12-5√2/10) +14√7/21 * 3√7/7=
= -√2/4(√2/2+2√2-√2/2) +2√7/3 * 3√7/7=
= -√2/4 *√2/2 +2=
=-1/4 + 2=3/4

c) (4/√32+6/√72+8/√128+10/√200):√8=
= (4/4√2+6/6√2+8/8√2+10/10√2):√8=
= (1/√2+1/√2+1/√2+1/√2):√8=
= 4/√2:2√2=
= 4/√2 * 1/2√2=1