Final answer:
The equation 3d=√(d+5) is identified as a radical equation because it contains the variable 'd' within a square root. To solve radical equations, one typically isolates the radical and squares both sides to eliminate the radical and then solves for the variable.
Step-by-step explanation:
From the given options, a radical equation is an equation in which a variable is contained within a radical, such as a square root or cube root. Looking at the provided equations, we identify that the equation 3d=√(d+5) is a radical equation because it has the variable 'd' inside the square root. Contrastingly, other options do not contain a radical with a variable inside it or are not equations because they do not have an equals sign.
To clarify further, a radical equation involves the variable under the radical sign, and one typically needs to isolate the radical on one side and then square (or raise to the appropriate power) both sides to remove the radical and solve for the variable. An example of squaring both sides to solve a radical equation would be as follows:
Simplify the equation if needed.
Isolate the radical expression on one side of the equation.
Square both sides of the equation to eliminate the radical.
Solve the resulting equation.
In contrast, cube roots and other higher roots in equilibrium problems do not necessarily define an equation as radical unless they contain a variable.