Question

decomponha o radicando em fatores primos​

Answer 1

Explicação passo-a-passo:

a) $\sf \sqrt{225}$

225 | 3

75 | 3

25 | 5

5 | 5

1

225 = 3² x 5²

$\sf \sqrt{225}=\sqrt{3^2\cdot5^2}$

$\sf \sqrt{225}=3\cdot5$

$\sf \sqrt{225}=15$

b) $\sf \sqrt{289}$

289 | 17

17 | 17

1

289 = 17²

$\sf \sqrt{289}=\sqrt{17^2}$

$\sf \sqrt{289}=17$

c) $\sf \sqrt{196}$

196 | 2

98 | 2

49 | 7

7 | 7

1

196 = 2² x 7²

$\sf \sqrt{196}=\sqrt{2^2\cdot7^2}$

$\sf \sqrt{196}=2\cdot7$

$\sf \sqrt{196}=14$

d) Acho que era pra ser $\sf \sqrt{441}$

441 | 3

147 | 3

49 | 7

7 | 7

1

441 = 3² x 7²

$\sf \sqrt{441}=\sqrt{3^2\cdot7^2}$

$\sf \sqrt{441}=3\cdot7$

$\sf \sqrt{441}=21$