Question

find the cube root of 13824​

Answer 1

$\sqrt[ 3]{138} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 } \\ = \sqrt[3]{2 {}^{3} \times 2 {}^{3} \times 2 {}^{3} \times {3}^{3} } \\ = 2 \times 2 \times 2 \times 3 \\ = 24$

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