The sub-triplicate ratio of $3 : 81$ is ____

81 : 3

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\sqrt{3} : 3

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1 : 3

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\sqrt{3} : 9

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Solution

The correct option is C $1 : 3$
The subtriplicate ratio of $a : b$ is $\sqrt[3]{a} : \sqrt[3]{b}$
Now, $3 : 81 = \frac{3}{81} = \frac{1}{27} = 1 : 27$
$∴$ The subtriplicate ratio of $1 : 27$ is $\sqrt[3]{1} : \sqrt[3]{27} = 1 : 3$

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Similar questions

Find sub - triplicate ratio of :

(i) 64 : 27 (ii) $x^{3} : 125 y^{3}$

\sqrt[3]{9} : \sqrt{8}

a^{3}

b^{3}

a^{3} : b^{3}

4 : 9

3 : 4

2 : 3

9 : 7

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