Question

find the cube root of the following number by prime factorization method 5 hole 23 / 64​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\sqrt[3]{5 \frac{23}{64} } = \sqrt[3]{\frac{5 \times 64 + 23}{64} } \\ = \sqrt[3]{\frac{320 + 23}{64} } \\ = \sqrt[3]{\frac{343 }{64} }\\ = \sqrt[3]{\frac{7 \times 7 \times 7 }{4 \times 4 \times 4} } \\ = \sqrt[3]{\frac{ {7}^{3} }{ {4}^{3} } } = \frac{7}{4}$