Find the Domain s = square root of 30(60)(0.75)(1.00)

Problem

s=√(,30*(60)*(0.75)*(1.00))

Solution

1. Identify the nature of the expression. The variable s() is defined as the principal square root of a numerical product.

2. Determine the condition for the domain. For a square root function √(,x) to be defined in the set of real numbers, the radicand (the expression inside the square root) must be greater than or equal to zero.

3. Evaluate the radicand. Calculate the product inside the square root:

30⋅60⋅0.75⋅1.00=1350

4. Check the condition. Since 1350≥0 the expression is a well-defined real number.

5. Conclude the domain. Because the expression consists entirely of constants and does not contain any independent variables, the domain is simply the set of all real numbers ℝ if s() is viewed as a constant function, or more specifically, the expression is defined for all values provided.

Final Answer

Domain of *s=ℝ

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