Given the rational number:
[tex]\frac{590}{160}[/tex]
Given the square root:
[tex]\sqrt{17}[/tex]
Let's determine if the rational number is a reasonable approximation for the square root.
A rational number is a number that can be expressed as a fraction or ratio of two numbers.
Now, let's first determine if the square root is a rational number.
[tex]\sqrt{17}[/tex]
The square root is not a rational number.
Since it is not a rational number, it cannot be the approximation of any rational number.
Therefore, the rational number is NOT a reasonable approximation of the square root.
ANSWER:
