An equation that contains a variable under a radical sign and that can be converted into an algebraic equation.
Example
The equation \(2x+\sqrt {x}=10\) is an irrational equation, since it contains a variable \(x\) under a radical sign and can be converted into the algebraic equation : \(4x^{2} – 41x + 100 = 0\). To do so, the irrational term is isolated on either side of the equation and then both sides of the equation are squared.