Question

FECHA:
racionalizar la raiz de 0,009

Answer 1

$\sqrt{0,009} =\sqrt{\dfrac{9}{1000} }=\dfrac{3}{\sqrt{1000} } =\dfrac{3}{\sqrt{10\times100} } =\dfrac{3}{10\sqrt{10} } =\\ \\ \\ =\dfrac{3\sqrt{10} }{10\sqrt{10}\sqrt{10} } =\dfrac{3\sqrt{10} }{10\times10} =\dfrac{3\sqrt{10} }{100}=\boxed{\bold{0,03\sqrt{10}}}}$