What is the value of √(0.729)

Question

What is the value of
`√(0.729)`

Answer 1

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:

`\begin{gathered} We\text{ know that } \\ 9^3=9*9*9=729 \end{gathered}`

Thus, the cube root of 729 is 9:

`\sqrt[3]{729}=9`

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:

`\sqrt[3]{0.729}=0.9`

We just add the decimal point to both numbers.

Answer: 0.9