Solving Inequalities With The Unknown Under The Square Root

Abstract

Irrational inequalities are one of the important sections of algebra, studying inequalities involving radical expressions. When solving such inequalities, it is important to take into account conditions such as the domain of the expression and the non-negativity of the expression under the root. This article describes in detail the concept of irrational inequalities, their types, methods of solution, and rules necessary to avoid errors. Also, effective methods such as squaring inequalities, the method of intervals, and the functional approach are explained with examples. Irrational inequalities serve to develop logical thinking in mathematics and are an important theoretical basis for solving complex algebraic problems.