Algebra Examples

$\sqrt{4} \cdot (- \sqrt[3]{125})$

Step 1

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2}} \cdot (- \sqrt[3]{125})$

Step 2

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

$2 \cdot (- \sqrt[3]{125})$

Step 3

Rewrite $125$ as $5^{3}$ .

$2 \cdot (- \sqrt[3]{5^{3}})$

Step 4

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

$2 \cdot (- 1 \cdot 5)$

Step 5

Multiply $2 (- 1 \cdot 5)$ .

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Step 5.1

Multiply $- 1$ by $5$ .

$2 \cdot - 5$

Step 5.2

Multiply $2$ by $- 5$ .

$- 10$