To simplify the expression [tex]\(\sqrt[3]{729}\)[/tex], we need to find the number that, when cubed, equals 729.
[tex]\(\sqrt[3]{729} = 9\)[/tex], because [tex]\( 9 \times 9 \times 9 = 729 \)[/tex].
To verify this, we cube the resulting number to check if it equals 729:
[tex]\[ 9^3 = 9 \times 9 \times 9 = 729 \][/tex]
Thus, we see that [tex]\( \sqrt[3]{729} = 9 \)[/tex] and the verification with [tex]\( 9^3 = 729 \)[/tex] confirms that our answer is correct.
