What square root property is essential to solve any radical equation involving radicals?

sqrt(a*b)=sqrt(a)*sqrt(b)

The square root property that is essential to solve any radical equation involving radicals is the concept that if a squared term equals a constant, then taking the square root of both sides of the equation will give two possible solutions: one positive and one negative. This is because the square root of a number is always positive, and when squared, it yields the original number.

To specifically solve radical equations, follow these steps:

1. Isolate the radical term: Move all terms containing the radical to one side of the equation.
2. Square both sides of the equation: This eliminates the radical.
3. Solve the resulting quadratic equation: Simplify and solve for the variable using factoring, quadratic formula, or completing the square.
4. Check for extraneous solutions: Substitute the found solutions back into the original equation to ensure they are valid.

By using the square root property, you ensure that you consider all possible solutions to the radical equation.