$$ \leftarrow $$\begin{tabular}{l} Simplify. \ $$ \sqrt[3]{875} $$ \ \hline\end{tabular}

Question

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \sqrt[3]{875} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt[3]{875}$$
- step1: Write as a product:
  $$\sqrt[3]{125	imes 7}$$
- step2: Write in exponential form:
  $$\sqrt[3]{5^{3}	imes 7}$$
- step3: Use the properties of radicals:
  $$\sqrt[3]{5^{3}}	imes \sqrt[3]{7}$$
- step4: Simplify the root:
  $$5\sqrt[3]{7}$$
The simplified form of $$ \sqrt[3]{875} $$ is $$ 5\sqrt[3]{7} $$ or approximately 9.564656.
$$ \sqrt[3]{875} = 5\sqrt[3]{7} $$ or approximately 9.564656

Simplify.

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