👉 Rationalizations are mathematical operations or transformations that transform a given expression into another form. These transformations can be used to simplify expressions, manipulate equations, and help solve certain types of problems. For example, if we have an equation: $$ x^2 - 3x + 2 = 0 $$ We can rationalize the denominator by multiplying both sides by the conjugate of the denominator, which is $(x-1)^2$: $$ (x^2 - 3x