Question

fatore a raiz a seguir 5√(1000

Answer 1

5√(1000)

Fatorando √(1000)

1000 / 2
500 / 2
250 / 2
125 / 5
25 / 5
5 / 5
1

√2² . 2 . 5² . 5
2 . 5 √ 2 . 5
10 √ 10

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5 . 10 √ 10
50√10

Answer 2

Resposta:

$5\sqrt{1000}\\\\5\sqrt{2^3\cdot \:5^3}\\\\5\sqrt{2^2\cdot \:2\cdot \:5^2\cdot \:5}\\\\5\sqrt{2^2}\sqrt{5^2}\sqrt{2\cdot \:5}\\\\5\cdot \:2\sqrt{5^2}\sqrt{2\cdot \:5}\\\\5\cdot \:2\cdot \:5\sqrt{2\cdot \:5}\\\\5\cdot \:10\sqrt{2\cdot \:5}\\\\50\sqrt{2\cdot \:5}\\\\50\sqrt{10}$<<<<<<<<----