Math, asked by sidhika18, 6 months ago

3√3375 + 3√-2744 + 3√729​

Answers

Answered by CloseEncounter
8

Question

\tt{\sqrt[3]{3375} + \sqrt[3]{-2744}+\sqrt[3]{729}}

Solution

\tt{→\sqrt[3]{3375} + \sqrt[3]{-2744}+\sqrt[3]{729}}

\tt{→\sqrt[3]{3³×5³} + \sqrt[3]{-(2³×7³}+\sqrt[3]{3⁶}}

\tt{→\sqrt[3]{15³} + \sqrt[3]{-(14)³}+\sqrt[3]{3⁶}}

\tt{→15 -14+3²}

\tt{→15 -14+9}

\tt{→24 -14}

\tt{→10}

hope it helps

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