Simplifying Radicals Algebra I Unit 1 D2

Perfect Squares

= = = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM

= = = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM

+ To combine radicals: combine the coefficients of like radicals

Ex 4 Simplify each expression

Ex 5 Simplify each expression: (Simplify each radical first and then combine).

Ex 6 Simplify each expression: (Simplify each radical first and then combine).

= = = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM

Ex 8 Simplify each expression

* To multiply radicals: multiply the coefficients and then multiply the radicands and then simplify the remaining radicals.

Ex 9 Multiply and then simplify

To divide radicals: divide the coefficients, divide the radicands if possible, and rationalize the denominator so that no radical remains in the denominator

Ex 10 Divide and then simplify

Simplify numerical part under radicand then pull out “pairs” of variables under radicand (divide exponent by 2, remainder stays under radicand)