To solve this problem we first consider the following:
The result of a square root is the number that multiplied 2 times by itself is equal to the number inside the square root.
The result of a cube root is the number that multiplied 3 times by itself is equal to the number inside the cube root.
We start solving this problem by considering the following:
[tex]\begin{gathered} We\text{ know that } \\ 9^3=9\times9\times9=729 \end{gathered}[/tex]Thus, the cube root of 729 is 9:
[tex]\sqrt[3]{729}=9[/tex]But what we are asked for is the square root of 0.729, thus by comparison with the previous equation, we can conclude that the cube root of 0.729 is:
[tex]\sqrt[3]{0.729}=0.9[/tex]We just add the decimal point to both numbers.
Answer: 0.9
