For what values of the variable of the following g expression make sense?

Question

Square root of 8c

Answer 1

The expression \(\sqrt{8c}\) is defined and makes sense when the value inside the square root is non-negative. This means that the expression \(8c\) must be greater than or equal to zero.

To ensure this:

1. \(8c \geq 0\)

Since \(8\) is positive, we can divide both sides of the inequality by \(8\) without changing the direction of the inequality:

2. \(c \geq 0\)

Thus, the values of the variable \(c\) that make the expression \(\sqrt{8c}\) valid are all non-negative values:

\[ c \geq 0 \]

In conclusion, the expression makes sense for \(c \geq 0\).