What is −72−−−−√3

simplified?

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

1 answer

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.