Answer:
[tex]c\geq0[/tex]
Step-by-step explanation:
Given:
The given expression is:
[tex]\sqrt{8c}[/tex]
A square root function always gives a result greater than or equal to 0.
For a square root function, the terms inside the square root must be greater than or equal to 0. Therefore,
[tex]8c\geq0[/tex]
Dividing both sides by 8 to isolate 'c', we get:
[tex]\frac{8c}{8}\geq \frac{0}{8}\\c\geq0[/tex]
Therefore, the values of 'c' must be greater than or equal to 0 for the given square root function to exist. If the values of 'c' less than 0, then the square root function is undefined and doesn't give real values as result.
