Example

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