Question

Calculati:
a) 11√7-2{5√2+[13√7+3(8√2-3√7)] :4}
b) 3√5-7{√2+[15√5-3(√5-4√2)] :12}

Answer 1

a) 11√7-2{5√2+[13√7+3(8√2-3√7)] :4} 
= 11√7 - 2 { 5√2 + [ 13√7 + 24√2 - 9√7]:4}=
= 11√7 -2[ 5√2 + (24√2 +4√7) : 4]=
=11√7 - 2[ 5√2 +4 ( 6√2 + √7):4]=
=11√7 - 2 (5√2+6√2+√7)=
=11√7 - 2 (11√2+√7)=
=11√7- 22√2 - 2√7=
=9√7 - 22√2

b) 3√5-7{√2+[15√5-3(√5-4√2)] :12}=
= 3√5 - 7 [ √2 + ( 15√5 - 3√5 +12√2) : 12]=
=3√5 - 7 [ √2 + 12 (√5 + √2) : 12]=
=3√5 - 7 ( √2 +√5+√2)=
=3√5 -7( 2√2 +√5)=
=3√5 - 7√5 - 14√2=
=- 14√2 - 4√5