Question

Calcule o valor das raízes inexatas usando a fatoração.
√80
√50
√252
√1100
√140
√960

Answer 1

Explicação passo-a-passo:

a)

80 | 2

40 | 2

20 | 2

10 | 2

5 | 5

1

80 = 2⁴ x 5

√80 = √(2⁴ x 5)

√80 = 2²√5

√80 = 4√5

b)

50 | 2

25 | 5

5 | 5

1

50 = 2 x 5²

√50 = √(2 x 5²)

√50 = 5√2

c)

252 | 2

126 | 2

63 | 3

21 | 3

7 | 7

1

252 = 2² x 3² x 7

√252 = √(2² x 3² x 7)

√252 = 2 x 3 x √7

√252 = 6√7

d)

1100 | 2

550 | 2

275 | 5

55 | 5

11 | 11

1

1100 = 2² x 5² x 11

√1100 = √(2² x 5² x 11)

√1100 = 2 x 5 x √11

√1100 = 10√11

e)

140 | 2

70 | 2

35 | 5

7 | 7

1

140 = 2² x 5 x 7

√140 = √(2² x 5 x 7)

√140 = 2 x √(5 x 7)

√140 = 2√35

f)

960 | 2

480 | 2

240 | 2

120 | 2

60 | 2

30 | 2

15 | 3

5 | 5

1

960 = 2⁶ x 3 x 5

√960 = √(2⁶ x 3 x 5)

√960 = 2³ x √(3 x 5)

√960 = 8√15

Answer 2

Resposta:

$\boxed{4\sqrt{15} }$    $\boxed{5\sqrt{2} }$     $\boxed{10\sqrt{11} }$   $\boxed{2\sqrt{35} }$   $\boxed{8\sqrt{15} }$

RAÍZES QUADRADAS INEXATAS:

$\sqrt{80}=$ $\sqrt{2^2. 2^2 . 5} = 2.2\sqrt{5} = 4\sqrt{5}$

80 : 2

40 : 2

20 : 2

10 : 2

 5 : 5

 1

$\sqrt{50}=$ $\sqrt{2.5^2} = 5\sqrt{2}$

50 : 2

25 : 5

 5 : 5

 1

$\sqrt{252}=$$\sqrt{2^2.3^2.7}= 2.3\sqrt{7}= 6\sqrt{7}$

252 : 2

126 : 2

63 : 3

21 : 3

7 : 7

1

$\sqrt{1100}=$ $\sqrt{2^2 . 5^2 . 11}= 2 .5 \sqrt{11}=10\sqrt{11}$

1100 : 2

550 : 2

275 : 5

 55 : 5

 11 : 11

   1

$\sqrt{140}=$ $\sqrt{2^2. 5.7}= 2\sqrt{35}$

140 : 2

  70 : 2

  35 : 5

    7 : 7

    1

$\sqrt{960}=$ $\sqrt{2^2. 2^2 . 2^2.3.5}= 2.2.2\sqrt{15}=8\sqrt{15}$

960 : 2

480 : 2

240 : 2

120 : 2

60 : 2

30 : 2

15 : 3

5 : 5

 1

===============

Veja mais nas tarefas:

https://brainly.com.br/tarefa/13447038

https://brainly.com.br/tarefa/16394134

https://brainly.com.br/tarefa/28593025

https://brainly.com.br/tarefa/5214607

https://brainly.com.br/tarefa/1790549