Question

$\sqrt[3]{700 \times 2 \times 49 \times 5}$
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Answer 1

Answer:

70.

Step-by-step explanation:

$\sqrt[3]{700 \times 2 \times 49 \times 5}$

After splitting the numbers we get:

$= \sqrt[3]{7 \times {2}^{2} \times {5}^{2} \times 2 \times {7}^{2} \times 5 } \\ \\ = \sqrt[3]{ {2}^{3} \times {5}^{3} \times {7}^{3} } \\ \\ = {( {2}^{3} \times {5}^{3} \times {7}^{3} )}^{ \frac{1}{3} } \\ \\ = {2}^{3 \times \frac{1}{3} } \times {5}^{3 \times \frac{1}{3} } \times {7}^{3 \times \frac{1}{3} } \\ \\ = 2 \times 5 \times 7 \\ \\ \bf = 70$