Question

gente me ajudem!!!
2✓36
2✓100
2✓900
se puderem façam explicação,é p hoje!!!​

Answer 1

Explicação passo-a-passo:

a) $2\sqrt{36}$

36 | 2

18 | 2

9 | 3

3 | 3

1

36 = 2² x 3²

$\sf \sqrt{36}=\sqrt{2^2\cdot3^2}$

$\sf \sqrt{36}=2\cdot3$

$\sf \sqrt{36}=6$

Logo:

$\sf 2\sqrt{36}=2\cdot6$

$\sf 2\sqrt{36}=12$

b) $2\sqrt{100}$

100 | 2

50 | 2

25 | 5

5 | 5

1

100 = 2² x 5²

$\sf \sqrt{100}=\sqrt{2^2\cdot5^2}$

$\sf \sqrt{100}=2\cdot5$

$\sf \sqrt{100}=10$

Logo:

$\sf 2\sqrt{100}=2\cdot10$

$\sf 2\sqrt{100}=20$

c) $2\sqrt{900}$

900 | 2

450 | 2

225 | 3

75 | 3

25 | 5

5 | 5

1

900 = 2² x 3² x 5²

$\sf \sqrt{900}=\sqrt{2^2\cdot3^2\cdot5^2}$

$\sf \sqrt{900}=2\cdot3\cdot5$

$\sf \sqrt{900}=30$

Logo:

$\sf 2\sqrt{900}=2\cdot30$

$\sf 2\sqrt{900}=60$