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\sqrt[3]{875}can you help me solve this problem please? I also need help knowing how to work it out.

\sqrt[3]{875}can you help me solve this problem please? I also need help knowing how-example-1

1 Answer

6 votes

We are given the following expression:


\sqrt[3]{875}

We can factor 875 as:


\sqrt[3]{125*7}

Now we will use the following property:


\sqrt[x]{a* b}=\sqrt[x]{a}*\sqrt[x]{b}

Applying the property:


\sqrt[3]{125}*\sqrt[3]{7}

Solving the cubic root on the left:


5\sqrt[3]{7}

Since we get simplify any further this is the answer.

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