A ‘Radical’ Warm-Up Dude



What is a radical?An expression that has a square root, cube root, etc. The symbol is Types of RadicalsAn entire radical is a radical with a coefficient of 1 (e.g.40)-50800-838200A mixed radical has a coefficient other than 1 (e.g.25). It is 2 times 5.A. SIMPLIFYING (Reducing) RADICALSTo?simplify?means to find another expression with the same value.? It does?not?mean to find a decimal approximation.i) Simplify the following “entire” radicals.a) 40b) 72c) 180d) 288ii) Express each of the following as “entire” radicals.a) 75b) -33Multiply or divide, then simplify the following radicalsa) 218 x 38b) 53 x 72c) (3+5)2d) -122432e) 155D. ADDING RADICALSWhen adding or subtracting radicals, you must use the same concept as that of adding or subtracting "like" variables.??In other words, the radicals must be the?samebefore you add (or subtract) them.?Like Radicalsexample 36 and 26 non-example 36 and 25Ex1: Add 36 +26 Since the radicals are the same, simply add the numbers?in front?of the radicals (do?NOT?add the numbers under the radicals).?Answer: 56Ex2: Add 36 +25Since the radicals are not the same, and both are in their simplest form, there is no way to combine these values.? The answer is the same as the problem.Answer: 36 +25Add the following radicalsa) 53 +275b) 58-318+3 Practice: Multiplying RadicalsSimplify. Express your answer as a radical in simplest form.Simplify. Express your answer as a radical in simplest form.26454106769101a) b) c) d) e) f) g) h) 2a) 7 b) 42 c) 11 – x2 d) –4 e) f) g) h) 001a) b) c) d) e) f) g) h) 2a) 7 b) 42 c) 11 – x2 d) –4 e) f) g) h) Homework: Puzzle Pagep. 167 #(1-3)d, (4-6)bdf, 7-12 ................
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