Basic Math Examples

$(6 \sqrt[3]{7}) (5 \sqrt[3]{49})$

Step 1

Multiply $(6 \sqrt[3]{7}) (5 \sqrt[3]{49})$ .

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Step 1.1

Multiply $5$ by $6$ .

$30 \sqrt[3]{7} \sqrt[3]{49}$

Step 1.2

Combine using the product rule for radicals.

$30 \sqrt[3]{49 \cdot 7}$

Step 1.3

Multiply $49$ by $7$ .

$30 \sqrt[3]{343}$

Step 2

Rewrite $343$ as $7^{3}$ .

$30 \sqrt[3]{7^{3}}$

Step 3

Pull terms out from under the radical, assuming real numbers.

$30 \cdot 7$

Step 4

Multiply $30$ by $7$ .

$210$