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[tex]if \: \sqrt[3]{ \frac{27}{125} } = \: 9 \: then \ \: : \\ \sqrt[3]{0.000729} = \:?[/tex]
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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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Verified answer
➪Gɪᴠᴇɴ :-
[tex]if \: \sqrt[3]{ \frac{27}{125} } = \: 9 \: [/tex]
[tex] \: then \ \: \\ \sqrt[3]{0.000729} = \:?[/tex]
➪Sᴏʟᴜᴛɪᴏɴ ✍︎:-
[tex]if \: \sqrt[3]{ \frac{27}{125} } = \: 9[/tex]
[tex] \sqrt[3]{ \frac{729}{1000000} } [/tex]
[tex] = \frac{ \sqrt[3]{729} }{ \sqrt[3]{1000000} } .... \: [ ( \frac{a}{b} ) {}^{m} = \frac{a {}^{m} }{b {}^{m} } ][/tex]
[tex] = \frac{9}{ \sqrt[3]{100 {}^{3} } } [/tex]
[tex]...[ \sqrt[3]{729} = 9 ][/tex]
[tex] = \: \frac{9}{100} \: ... \: [( a {}^{m} ) {}^{ \frac{1}{m} } = \: a \: ][/tex]
[tex]∴ \: \sqrt[3]{0.000729} = 0.09[/tex]
Final answer:-
[tex]∴ \: \sqrt[3]{0.000729} = 0.09[/tex]
Nᴏᴛᴇ:-
Here , the number of decimal places in cube root is = 6
∴ Number of decimal places in cube of number = 2
Ans by :- @Mɪssғᴀɪʀᴛ01
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