Simplify: ^3√125

Responses
A 5
B 10
C 15
D 20
E 25

1 answer

To simplify \( \sqrt[3]{125} \):

We can express 125 as \( 5^3 \) because \( 5 \times 5 \times 5 = 125 \).

Now we can rewrite the expression:

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

Using the property of radicals that \( \sqrt[n]{a^n} = a \), we get:

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

Thus, \( \sqrt[3]{125} = 5 \).

The correct answer is \( \boxed{5} \).