Answer :

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]