Question

9.efectuati
a)2 radical 132 : radical 11 + 14 radical 30 : ( 2 radical 10) + 9 radical 21 : radical 7 - 6 x radical
b) ( 3 radical 2 - radical 5 ) x radical 3 + radical 2 x ( radical 3 - radical 20 ) +radical 5 x(radical 3+ radical 8 )
c) radical 48 x ( 2 radical 75 -radical 27 + 2 radical 27 ) -radical 48 x radical 12
d) radical 243 x radical 147 -2 radical 3 x 7 radical 3 + 3 radical 8 ( 5 radical 72 + 6 radical 128 )

Answer 1

a)2√132 : √11 + 14 √30 : ( 2 √10) + 9 √21 :  √ 7 - 6√3=
=4√33 : √11 + 14√30 : 2√10 + 9√21 : √7 - 6√3=
=4√3 + 7√3 + 9√3 - 6√3=
=14√3

b) ( 3√2 - √5 ) ×  √ 3 +  √ 2 × (  √3 - √20 ) + √5 ×( √3+√8 )=
= 3√6 - √15  +  √6 - 2√10 + √15+2√10 =
= 3√6   +  √6 =4√6

c)  √48 x ( 2 √75 - √27 + 2√27 ) -√48 x √12 =
= 4√3 x ( 10√3 - 3√3 + 6√3 ) -4√3 x 2√3 =
= 4√3 x13√3 -24 =
=156-24=132

d)√243 x √147 -2 √ 3 x 7 √3 + 3 √8 ( 5 √72 + 6√128 )=
=9√3 x7√3 -2√3 x 7√3 + 6√2 ( 30√2 + 48√2 )=
=189 -42 + 936 =1083