Question

Me ajudaaa por favor

Answer 1

Fatoração dos números dentro de radicais

A)  √125

125 | 5

25 | 5

5 | 5

1  

√5².5 = 5.√5 = 5.2,24 ≅ 11,2

b)

√20

20 | 2

10 | 2

5 | 5

1

√2².5 = 2.√5 = 2.2,24 ≅ 4,48

c) √500

500| 2

250 | 2

125 | 5

25 | 5

5 | 5

1

√2².5²5 = 2.5.√5 = 10.2,24 = 22,4

d) √1/5

1/2,24

 ≅0,45

e) √605

605| 5

121 | 11

11 | 11

1

√11².5 = 11√5 = 11.2,24 ≅ 24,64

f) √45 / 4

45 | 3

15 | 3

5  | 5

 1

√3².5 / 2 = 3.2,24 / 2 = 3.1,12 = 3,36

g) √80/81

80| 2

 40 | 2

 20 | 2

  10 | 2

    5 | 5

    1

√2².2².5 / 9 = 4√5/9 = 4.2,24/ 9 = 0,995 ≅ 1

h) √ 720 / 441

   720 | 2            

   360 | 2

    180 | 2

     90 | 2

     45 | 3

      15 | 3

       5 | 5

       1  

441 | 3

147 | 3

49 | 7

7 | 7

1

√2².2².3².5 / √7².3² = 4.3√5 / 21 =  12√5/21 = 12.2,24 / 21 = 26,88 / 21 ≅ 1,28

Answer 2

OI...

$a)~\sqrt{125}~=~\sqrt{5^5~.~5}~=~5\sqrt{5}\\\\b)~\sqrt{20}~=~\sqrt{2^2~.~5}~=~2\sqrt{5}\\\\c)~\sqrt{500}~=~\sqrt{10^2~.~5}~=~10\sqrt{5}\\\\d)~\sqrt{\frac{1}{5}}~=~\frac{1}{\sqrt{5}}~=~\frac{\sqrt{5}}{5}\\\\e)~\sqrt{605}~=~\sqrt{11^2~.~5}~=~11\sqrt{5}\\\\f)~\sqrt{\frac{4}4}}~=~\frac{\sqrt{45}}{2}~=\frac{\sqrt{3^2~.~5}}{2}~=~\frac{3\sqrt{5}}{2}\\   \\g)~\sqrt{\frac{80}{81}}~=~\frac{\sqrt{80}}{9}~=~\frac{\sqrt{4^2~.~5}}{9}~=~\frac{4\sqrt{5}}{9}$

$h)~\sqrt{\frac{720}{441}}~=~\sqrt{\frac{80}{49}}~=~\frac{\sqrt{80}}{7}~=~\frac{\sqrt{4^2.~.5}}{7}~=~\frac{4\sqrt{5}}{7}$

Espero ter ajudado9.