Radicales

Page 1

EJERCICIOS DE RADICALES.

1.

a2 a2 + mn 2 m 2 n

2.

6a 2 b 4 c 3 :

3.

  1 1  2  ( a + x ) − 2  x ( a − x) a ( a − x) 

4.

3 ab + 4a 3 b −2 0,25 ab −a

5.

5 6 64a 2 −5 3 27 a +6 9 a 3

6.

2 3 a 6 b − 3a 2

7.

b

ab −4

64b + 5a 3 a 3 b + a 2

3

3

125b

ab 7 m 2 a 3 b 5 mn

ab 2 + 3b 4

1 a

1 1 − 4a a

ab 2

10.

a 2 m − a 2 n + 4 ( m − n) b 4 + 6 ( m − n) c 6

11.

8ab +

12.

1 ab 4

a 2 c + 4 16a 6 b 4 c 2 − a 6 b 6 c 3

a 3 mn + ab 2 n 2

8.

9.

2ab 3 c 3 9a 5 b 8 c 6

2

72ab +

a6 b2d − cd a

cd a

3

50 ab −

288ab

4a 4 c d2 + c b2d

b4c3 d3

13. ( 2a + 3b ) 8a +( a + 2b − c ) 18a −( 4a −b −3c ) 2a ab ⋅ 3 a 2 b 2 ⋅ 4 ab 3

14.

15.

4

16. a

17.

18.

4 5

a2

6

ab 4

2 ⋅2

ab

a+ b

b2

10

+

3n 3 5 ⋅ 8m 6 b a− b

2 a + 5 − 4 a 2 −8 ⋅

20.

a +b a + b − a −b

a 7b9

a ⋅ a 3 2 ⋅2 3 a ⋅a 6 2 ⋅ 2 6 a

6m 3 1 ⋅ 2n 2 a

5

19.

2m 4 n 3 4m 3 n

21.

22.

23.

3

2a + 5 + 2

a 2 −2

ab 2 5 a 4 c 4 6 b 5 d 2 10 c 2 d 6 ⋅ 3 2 ⋅ ⋅ c2d b d a2d 2 a 4b8 a

2− a x+

y

x−

y


a

24.

b

b

+

a

5+ 3

25.

ab

5− 3

+

5− 3

1

− ab +

5+ 3

bc a ⋅ b ⋅8 c

26.

4

 5 a 4b 3 a 5 a  27.  ⋅ ⋅ 2 3 4  c  b b c    a 2  2 a  : 28.   3 b 2 c   5 b 4 c 3    29.

3

m2n  4 m 3 n 2 

(

b −

b

a

ab

)

a

30.

31.

m

3

3

   

2

n

)

2 6

2

m5n 4   

a

(

2ab

1 2

32. 3   

34.

  4 3    

35.

) ⋅( 3

1 3

5

a 8

33.

36.

   

2

  a 2b 3  

7

(

ab

)

5

6

  

2

   

abc 4 a 3 b 3 c 2 ⋅ 3

37.

3

a 5b 5

a 4b 6 a 3b 2 m 3 m2

6

m5

38.

3

a 3 2a 3 2a

39.

3

a 2b 5

40.

3

ab ab ⋅ 3 a 2 b 2 ⋅ a a ⋅

4

a 3b 7

a 5b 5 a 7 b 3

a a


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