P1 – Properties of Equality Reflexivea = a SymmetricIf a = b, then b = a TransitiveIf a = b and b = c, then a =c SubstitutionalIf a = b, then a may be replaced by b in any expression that involves a.
P2 –Radicals How do we know if our expression is in simplest form? 1. The radicand contains only powers less than the index. 2. The index of the radical is as small as possible. 3. The denominator has been rationalized. Such that no radicals occur in the denominator. 4. No fractions occur under the radical sign.
To Rationalize the Denominator of a fraction means to write the fraction in an equivalent form that does not involve any radicals in the denominator. To do this we multiply the numerator and denominator of the radical expression by an expression that will cause the radicand in the denominator to be a perfect root of the index… Let’s take a look…