Identify Roots Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Find the cubic root 32.

Note: You will find the option to add a cubic root symbol in the Algebra (×)
keyboard.

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1 answer

To find the cubic root of 32, you are looking for a number \( x \) such that \( x^3 = 32 \).

The cubic root of 32 can be expressed as:

\[ \sqrt[3]{32} \]

Since \( 2^3 = 8 \) and \( 3^3 = 27 \), we can find that \( 4^3 = 64 \). Thus, the cubic root of 32 is between 3 and 4.

Calculating it more precisely:

\[ \sqrt[3]{32} = 2 \cdot \sqrt[3]{4} \approx 3.1748 \]

However, the exact answer is:

\[ \sqrt[3]{32} = 2 \cdot \sqrt[3]{4} \text{ or simply } 2\sqrt[3]{4} \]

If you're looking for an approximate decimal answer, it is approximately \( 3.1748 \).

Please input \( \sqrt[3]{32} \) or its approximate as needed in your assessment.