Moreno O'Quinn
03/16/2024 · Elementary School
F) \( \sqrt[3]{125} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To calculate \( \sqrt[3]{125} \), we need to find the number that, when multiplied by itself three times, equals 125.
We can express 125 as \( 5^3 \) because:
\[
5 \times 5 \times 5 = 125
\]
Thus, we have:
\[
\sqrt[3]{125} = \sqrt[3]{5^3}
\]
Using the property of exponents that states \( \sqrt[n]{a^n} = a \), we find:
\[
\sqrt[3]{5^3} = 5
\]
Therefore, the value of \( \sqrt[3]{125} \) is:
\[
\boxed{5}
\]
Quick Answer
\( \sqrt[3]{125} = 5 \)
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