Algebra Examples

$\sqrt[3]{64} = 4$

Step 1

Subtract $4$ from both sides of the equation.

$\sqrt[3]{64} - 4 = 0$

Step 2

Simplify $\sqrt[3]{64} - 4$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Rewrite $64$ as $4^{3}$ .

$\sqrt[3]{4^{3}} - 4 = 0$

Step 2.1.2

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

$4 - 4 = 0$

Step 2.2

Subtract $4$ from $4$ .

$0 = 0$

Step 3

Since $0 = 0$ , the equation will always be true.

Always true