To find the cube root of 9, we need to determine a number that, when multiplied by itself three times, equals 9. This is symbolized as [tex]\( \sqrt[3]{9} \)[/tex].
1. The cube root operation essentially asks the question: "What number, when raised to the power of 3, gives the number 9?"
2. Mathematically, this is represented as finding [tex]\( x \)[/tex] such that [tex]\( x^3 = 9 \)[/tex].
3. Through calculations, we determine that [tex]\( \sqrt[3]{9} \approx 2.080083823051904 \)[/tex].
Thus, [tex]\( \sqrt[3]{9} = 2.080083823051904 \)[/tex].