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Estratto del documento

Verifica di matematica classe 2°

di Alice Tosi

Semplifica i radicali ( ) ( )

( ) ( )

2

+

+

+ + + + +

2

2

2

2

2

2

1. 2 x 1

x

2 1

4 1 2

4 x 4 8 x x x 2 x 1

=

4

= = =

4

4 4 2

2 2

9 3

3

3 3

2 2

6 4 2 4

2 4 4 2 4 2 2

2. =

3 a b

81 3

a b a b 3 ab

12

= = 6

12 12

2 2 2 x

x x x

Esegui le operazioni ( ) ( ) ( )

2

+

+ + + + +

+ 2 2

2

3. a 1 1 1

a a a

1 a a 1 2 a 4 a 1 4

= = =

⋅ ⋅ ⋅

⋅

: :

2 2

2 2 2 2 4

a 2 a a 2 a a

( ) ( )

( ) ( ) ( ) ( ) ( ) ( )

2

2 + ⋅ +

+ + +

+ + +

3

3

2 a 1 a 1

a 1 a 1 a 1

1

a

a a 1 a 1

= = = =

⋅ ⋅ ⋅

2

3

2 2 2

8

2 4 2 2

2

a ( ) 3

−

+ + −

2 2 2 2

4. 2 3

( ) ( ) ( )

x y

x y xy x y xy

2 + − −

6

⋅ x x y x y

y x y

3 4 =

: =

⋅ 6

:

4

+ + 3

3 2 2 3

4 2 4

x x y xy x 2 3

( )

2 + 4 x

x y

3

4 x

4 6

( ) ( )

4 6

( ) ( ) 4

4 + −

2 6

+ − 6

2

y x y x y

y x y x y 4 x 4 x

=

= ⋅ ⋅ ⋅ ⋅

12 12

6 6

( )

( )

4 8 2 2 2 6

+ − ( )

x

4 −

x y x y 4 6

12 ( ) x y

+

4 x x y

2

4 y

y

= = 6

12 ( )

+

2

( ) 4 x x y

2 2 +

4 x x y

Trasporta sotto radice

5. 1 1

1 ( ) ( )

( ) 2

2

− ⋅ − ⋅

= = =

− ⋅ 2 x y 2 x y

2 x y ( )( ) ( )( )

− + − +

2 2

− x y x y x y x y

4 4

x y

4 4 ( )

( ) 2 −

− x y

4 x y

= = ( )

( )( ) +

− + x y

x y x y

4

Trasporta fuori dalla radice 2 ⋅

6. 28 2 7 2 2

⋅ = ⋅ = ⋅ =

x x x 7 7

( )

( ) +

2 2 2

( ) ( ) +

4 4 x x y

+ + x x y

x x y x x y

Esegui le operazioni

7. 2 8

2 2

3

− ⋅ + ⋅ − ⋅ = − + − = − + − = −

6

6 3 3 3 3 3 3

3 3 2

3

8 2 5 4 7 2 2 2 5 2 7 2 2 2 5 2 7 2 2 2

3

27 3 3

3

3

2

⎛ ⎞

8. 1 1

− = + −

⎜ ⎟ 2 2

x 3

b x 3

b 3

bx

⎝ ⎠

2 4

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