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$if \: \sqrt[3]{ \frac{27}{125} } = \: 9 \: then \ \: : \\ \sqrt[3]{0.000729} = \:?$


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Answer 1

Answer:

The answer is 0.09 or 9/100

Step-by-step explanation:

9^3=729

Three zeroes = 1 zero cube

0.09

This is vedic math trick

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Answer 2

➪Gɪᴠᴇɴ :-

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$if \: \sqrt[3]{ \frac{27}{125} } = \: 9 \:$

$\: then \ \: \\ \sqrt[3]{0.000729} = \:?$

➪Sᴏʟᴜᴛɪᴏɴ ✍︎:-

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$if \: \sqrt[3]{ \frac{27}{125} } = \: 9$

$\sqrt[3]{ \frac{729}{1000000} }$

$= \frac{ \sqrt[3]{729} }{ \sqrt[3]{1000000} } .... \: [ ( \frac{a}{b} ) {}^{m} = \frac{a {}^{m} }{b {}^{m} } ]$

$= \frac{9}{ \sqrt[3]{100 {}^{3} } }$

$...[ \sqrt[3]{729} = 9 ]$

$= \: \frac{9}{100} \: ... \: [( a {}^{m} ) {}^{ \frac{1}{m} } = \: a \: ]$

$∴ \: \sqrt[3]{0.000729} = 0.09$

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Final answer:-

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$∴ \: \sqrt[3]{0.000729} = 0.09$

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Nᴏᴛᴇ:-

Here , the number of decimal places in cube root is = 6

∴ Number of decimal places in cube of number = 2

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‎Ans by :- @Mɪssғᴀɪʀᴛ01

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