The correct option is B 0.3 √(0.0009)÷√(0.01) = #160; √(0.0009)√(0.01) = √(0.0009)√(0.0100) = √(9100) = √(9)√(100) = 310 = 0.3 ...

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√0.0009 ÷ √0....

Question

$\sqrt{0.0009} \div \sqrt{0.01} = ?$

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0.3

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\frac{1}{3}

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None of these

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Solution

The correct option is B 0.3
$\sqrt{0.0009} \div \sqrt{0.01}$ $= \frac{\sqrt{0.0009}}{\sqrt{0.01}}$
$= \frac{\sqrt{0.0009}}{\sqrt{0.0100}}$
$= \sqrt{\frac{9}{100}}$
$= \frac{\sqrt{9}}{\sqrt{100}}$
$= \frac{3}{10} = 0.3$

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