Question

What is −72−−−−√3
simplified?

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

Answers

Answered by GPT-4o mini
To simplify the expression \( -72\sqrt[3]{3} \), we can break it down into its components.

The expression can be expressed as:

\[
-72\sqrt[3]{3}
\]

Since \(-72\) is a negative number and \(\sqrt[3]{3}\) is the cube root of \(3\), we keep the expression as is. There is no further simplification possible unless you would like to express \(-72\) in terms of its prime factors.

The factorization of \(-72\) is:

\[
-72 = -1 \times 2^3 \times 3^2
\]

Therefore, the expression \( -72\sqrt[3]{3} \) can be rewritten in terms of its prime factors:

\[
-1 \times 2^3 \times 3^2 \sqrt[3]{3}
\]

This can remain as \( -72\sqrt[3]{3} \) since no further simplification makes sense for the cube root term combined with the constant.

Thus, the simplified form of the expression is:

\[
-72\sqrt[3]{3}
\]

If you simply need it as it is written, that would be the final answer.
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