Zapisz w prostszej postaci.
a) √10 + 2 √6 - 3 √10 + √6
b) ∛-3 + 2 ∛9 - 4 ∛3 - 5 ∛9
c) 2 √11 - ∛-11 + 7 ∛11 - √11
d) 2 ( √13 + √3 ) - 4 ( √13 - 3)
e) -( ∛2 - 2 ∛6 ) + 3 ( 5 ∛2 - ∛-6 )
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Zapisz w prostszej postaci.
a) √10 + 2 √6 - 3 √10 + √6=
= √10 -3√10 +2√6 +√6 =
= -2√10 +3√6
b) ∛-3 + 2 ∛9 - 4 ∛3 - 5 ∛9 =
= - ∛3 - 4∛3 + 2∛9 -5∛9 =
√= - 5∛3 - 3∛9
c) 2 √11 - ∛-11 + 7 ∛11 - √11=
= 2 √11 - √11 - ∛-11 + 7∛11 =
= 1√11 + ∛11 +7∛11 =
= √11 + 8∛11
d) 2 ( √13 + √3 ) - 4 ( √13 - 3)=
= 2√13 + 2√3 - 4√13 +12 =
= 2√13 - 4√13 +2√3 +12 =
= -2√13 + 2√3 +12
= -2( √13 -√3 - 6)
e) -( ∛2 - 2 ∛6 ) + 3 ( 5 ∛2 - ∛-6 ) =
= - ∛2 + 2∛6 + 15∛2 - 3∛-6 =
= - ∛2 +15∛2 + 2∛6 - 3∛-6 =
= 14∛2 + 2∛6 + 3∛6 =
= 14∛2 +5∛6