3Multiplication property of square roots: Division property of square roots:
4Simplify= 2= 4= 5This is a piece of cake!= 10= 12
5To Simplify Radicals you must make sure that you do not leave any perfect square factors under the radical sign. *Think of the factors of the radicand that are perfect squares.Perfect Square Factor * Other Factor=LEAVE IN RADICAL FORM=
6Simplify = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM====
24If we have a radical left in the denominator then we must rationalize the denominator: Since we cannot leave a radical in the denominator we must multiply both the numerator and the denominator by this radical to rationalize====*
25Hint – you will need to rationalize the denominator Simplify:Hint – you will need to rationalize the denominatorA.B. 4 C.D. 16
30Which of the following is not a condition of a radical expression in simplest form? A. No radicals appear in the numerator of a fraction. B. No radicands have perfect square factors other than 1. C. No radicals appear in the denominator of a fraction. D. No radicands contain fractions.
31Adding and subtracting radical expressions You can only add or subtract radicals together if they are like radicals – the radicands MUST be the same