Question

$\sqrt[3]{228 \sqrt[3]{72 \sqrt[3]{27} } }$
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Answer 1

Given :-

$\sqrt[3]{228 \sqrt[3]{72 \sqrt[3]{27} } }$

Solution :-

$\sqrt[ 3 ]{ 228 \sqrt[ 3 ]{ 72 \sqrt[ 3 ]{ 27 } } } \:$

Calculate $\sqrt[3]{27}$ and get 3.

$\sqrt[3]{228\sqrt[3]{72\times 3}} \:$

Multiply 72 and 3 to get 216.

$\sqrt[3]{228\sqrt[3]{216}} \:$

Calculate $\sqrt[3]{216}$ and get 6.

$\sqrt[3]{228\times 6} \:$

Multiply 228 and 6 to get 1368.

$\sqrt[3]{1368} \:$