Question

\root(3)(-3)\root(3)(-5)=\root(3)(15) true or false

Answer 1

The equation $\sqrt[3]{-3} \cdot \sqrt[3]{-5} = \sqrt[3]{15}$ is true

How to determine the true statement?

The equation is given as

$\sqrt[3]{-3} \cdot \sqrt[3]{-5} = \sqrt[3]{15}$

Apply the law of indices

$\sqrt[3]{-3 * -5} = \sqrt[3]{15}$

Evaluate the product

$\sqrt[3]{15} = \sqrt[3]{15}$

Both sides of the equation are the same

Hence, the equation $\sqrt[3]{-3} \cdot \sqrt[3]{-5} = \sqrt[3]{15}$ is true

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