The formula s=A−−√

can be used to determine the side length of a kitchen tile in inches with an area of A square inches.

What are the constraints on the variable s in the function?

Select the correct answers from the lists.

(1 point)
The value of s is restricted to
numbers.

The constraint on the variable ​​​​​​​​​​​​​​s is written as
.

1 answer

To understand the constraints on the variable \( s \) in the formula \( s = \sqrt{A} \), we need to consider the nature of the square root function and the variable \( A \).

  1. The value of s is restricted to:

    • non-negative numbers (including zero): Since the square root of a non-negative number is defined and results in a non-negative value, \( s \) must be \( s \geq 0 \).
  2. The constraint on the variable s is written as:

    • \( s \geq 0 \)

So the correct selections are:

  • The value of \( s \) is restricted to non-negative numbers.
  • The constraint on the variable s is written as \( s \geq 0 \).