3 Multiplication property of square roots: Division property of square roots:
4 Simplify= 2= 4= 5This is a piece of cake!= 10= 12
5 To 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=
6 Simplify = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM====
24 If 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====*
25 Hint – you will need to rationalize the denominator Simplify:Hint – you will need to rationalize the denominatorA.B. 4 C.D. 16
28 Review writing in simplest radical form: 1)2)3)4)5)6)
29 Review writing in simplest radical form: 7)8)9)
30 Which 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.
31 Adding and subtracting radical expressions You can only add or subtract radicals together if they are like radicals – the radicands MUST be the same
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