Question

ajutati-ma va rog ofer 40 puncte

Answer 1

Răspuns

Explicație pas cu pas:

a) 5√3 + 3 × { 4√2 + 4 [ 3√3 + 2 ( √3 - 3√2 ) ] } : 20 =

= 5√3 + 3 × [ 4√ 2 + 4×( 3√3 + 2√ 3 - 6√2 ) ] : 20 =

= 5√3 + 3 × ( 4√2 + 20√3 - 24√2 ) : 20 =

= 5√3 + ( 60√ 3 - 60√2) : 20 =

= 5√3 + ( 3√3 - 3√2) =

= 2√3 - 3√2

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b)   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 + ( 4√7 + 24√2 ) : 4 ] =

= 11√7 - 2 [ 5√2 + ( √7 + 6√2 ) × 4 : 4 ] =

= 11√7 - 2 ( √7 + 11√2 ) =

= 11√7 - 2√7 + 22√2 =

= 9√7 + 22√2

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c) 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 + 12√2 ) : 12 ] =

= 3√5 - 7 ( √2 + √5 + √2 ) =

= 3√5 - 14√2 - 7√5 =

= - 14√ 2 - 4√5

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d)  4√6 + 2√2 [ 6√2 - 2 ( 3√2 - 2√3 ) ] =

= 4√6 + 2√2 ( 6√2 - 6√2 + 4√3 ) ] =

= 4√6 + 2√2 × 4√3 =

= 4√6 + 8√6 =

= 12√6

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e) 16 + 3√7 [ 21√3 - 3 ( 7√3 + 2√7 ) ] =

= 16 + 3√7 ( 21√3 - 21√3 - 6√7 ) =

= 16 + 3√7 × ( - 6√7 )

= 16 - 18 × 7 =

= 16 - 126 =

= - 110

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f) 13√2 + 2 {15√3 - 3[ 12√2 - 5 ( √2 - √3 ) ] } =

= 13√2 + 2 [ 15√3 - 3 ( 12√2 - 5√2 + 5√3 ) ] =

= 13√2 + 2 [ 15√3 - 3 ( 7√2 + 5√3 ) ] =

= 13√2 + 2 ( 15√3 - 21√2 - 15√3 ) =

= 13√2 + 2 × ( - 21√2 ) =

= 13√2 - 42√2 =

= - 29√2

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g)  180√5 + 4√5 · { 18√2 - 3√5 ·[ 8√10 - 3·( 2√10 - √5 ) ] } =

= 180√5 + 4√5 · [ 18√2 - 3√5 · ( 8√10 - 6√10 + 3√5 ) ] =

= 180√5 + 4√5 · [ 18√2 - 3√5 · ( 2√10 + 3√5 ) ] =

= 180√5 + 4√5 · ( 18√2 - 6√50 - 9√25 ) =

= 180√5 + 4√5 · ( 18√2 - 30√2 - 9×5 ) =

= 180√5 + 4√5 · ( - 12√2 - 45 ) =

= 180√5 - 48√10 - 180√5 =

= - 48√10