Respostas

  • Usuário do Brainly
2014-08-31T13:14:03-03:00
Observe que:

\sqrt{\dfrac{64x^6}{9}}=\dfrac{\sqrt{64x^6}}{\sqrt{9}}

Por outro lado,

64x^6=8^2(x^3)^2=(8x^3)^2

9=3^2

Assim, \dfrac{\sqrt{64x^6}}{\sqrt{9}}=\dfrac{\sqrt{(8x^3)^2}}{\sqrt{3^2}}=\dfrac{8x^3}{3}

Portanto, \sqrt{\dfrac{64x^6}{9}}=\dfrac{\sqrt{64x^6}}{\sqrt{9}}=\boxed{\dfrac{8x^3}{3}}
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