To determine the cube root of 225, we are looking for a number that, when multiplied by itself three times (or raised to the power of 3), equals 225.
Mathematically, this can be written as:
[tex]\[
x = \sqrt[3]{225}
\][/tex]
We want to find the value of [tex]\( x \)[/tex] such that:
[tex]\[
x^3 = 225
\][/tex]
Upon solving this equation, we find that the value of [tex]\( \sqrt[3]{225} \)[/tex] is approximately 6.0822.
Therefore, we have:
[tex]\[
\sqrt[3]{225} \approx 6.0822
\][/tex]