Question

$\sqrt{10 \frac{74}{25 } }$
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Answer 1

Resposta:

$\boxed{\dfrac{2\sqrt{185}}{5}}$

Explicação passo-a-passo:

$\sqrt{a\times b}=\sqrt{a}\times\sqrt{b}\\\sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}}\\\\\sqrt{10\dfrac{74}{25}}=\sqrt{10}\times \sqrt{\dfrac{74}{25}}=\sqrt{10}\times \dfrac{\sqrt{74}}{\sqrt{25}}=\dfrac{\sqrt{10}\times \sqrt{74}}{5}=\dfrac{\sqrt{10\times 74}}{5}=\dfrac{\sqrt{740}}{5}=\dfrac{\sqrt{2^2\times5\times 34}}{5}=\boxed{\dfrac{2\sqrt{185}}{5}}$

Espero ter ajudado.