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Fill in the blanks:

(i) \(\sqrt[3]{125\times27}\) = 3 x ..........

(ii) \(\sqrt[3]{8}\times\) ..... = 8

(iii) \(\sqrt[3]{1728}\) = 4 x ......

(iv ) \(\sqrt[3]{480} = \) \(\sqrt[3]{3\times2\times\times}\) \(\sqrt[3]{....}\) 

1 Answer

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Best answer

(i) \(\sqrt[3]{125\times27} = 3 \times......\)

We have,

\(\sqrt[3]{125\times27}\)

\(\sqrt[3]{5\times5\times5\times3\times3\times3}\)

Hence,

(ii) \(\sqrt[3]{8\times......} = 8\)

Hence,

(iii) \(\sqrt[3]{1728} = 4\times .......\)

We have,

 = 4 x 3

Hence,

\(\sqrt[3]{1728} = 4\times3\)

(iv) \(\sqrt[3]{480} = \) \(\sqrt[3]{3\times2\times\times}\) \(\sqrt[3]{....}\)

We have,

Hence,

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