Find Value of ∛7 × ∛49

Question

\[ \sqrt[3]{7} \times \sqrt[3]{49} \]

Solution

\[ = \sqrt[3]{7 \times 49} \]
\[ 49 = 7^2 \]
\[ = \sqrt[3]{7 \times 7^2} \]
\[ = \sqrt[3]{7^3} \]
\[ = 7 \]

Answer

\[ \boxed{7} \]

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