Question

Find the cube root of -125:3sqrt-125

Answer 1

To find the cube root of \(-125\), we can use the cube root notation.

The cube root of \(-125\) can be calculated as follows:

\[
\sqrt[3]{-125} = -\sqrt[3]{125}
\]

Since \(125\) is \(5^3\):

\[
\sqrt[3]{125} = 5
\]

Now we consider the negative:

\[
\sqrt[3]{-125} = -5
\]

Thus, the cube root of \(-125\) is:

\[
\sqrt[3]{-125} = -5
\]

The expression "3sqrt-125" is not clear in mathematical terms. If you're looking for the expression written properly, "3 times the cube root of -125" can be represented as:

\[
3 \times \sqrt[3]{-125} = 3 \times (-5) = -15
\]

So, the final answer is:

1. The cube root of \(-125\) is \(-5\).
2. If "3sqrt-125" means \(3 \times \sqrt[3]{-125}\), the result is \(-15\).