\sqrt[3]{( - 64)} ​

Question

`\sqrt[3]{( - 64)}`
​

Answer 1

`-4`

Explanation:

Step 1: Apply the rule

`\left(-64\right)=-64\\\\=\sqrt[3]{-64}`

Step 2: Apply the radical rule

`\sqrt[3]{-64}=-\sqrt[3]{64}\\\\=-\sqrt[3]{64}`

Step 3: Factor the number

`\:64=4^3\\\\=-\sqrt[3]{4^3}`

Step 4: Apply the radical rule

`\sqrt[3]{4^3}=4\\\\=-4`

Therefore,
`\:\sqrt[3]{\left(\:-\:64\right)}\:=\:-4`