Simplifying Radicals PDF

Simplifying Radicals RECALL 23 28 𝟐𝟎 𝟏𝟗 𝒙 𝟏𝟕 𝟑 𝟖 𝒅 𝒄 Simplifying Radical Expressions A radical has been simplified when its radicand contains no perfect square factors. Product Property for Radicals ab  a  b  Steps 1. Factor the radicand i...

Simplifying Radicals RECALL 23 28 𝟐𝟎 𝟏𝟗 𝒙 𝟏𝟕 𝟑 𝟖 𝒅 𝒄 Simplifying Radical Expressions A radical has been simplified when its radicand contains no perfect square factors. Product Property for Radicals ab  a  b  Steps 1. Factor the radicand into a perfect square if possible 2. If there is an exponent make it even by using rules of exponents (to take square root of exponent divide by 2) 3. Simplify by taking the square root of perfect squares and leaving non perfect squares under the radical Simplify: 45 9 5 3 5 Simplify: 49 x 49  x 7 x Simplify: 52t 4  13t 2 13t Simplify: 12 x 6 x Square root of a variable to an even power = the variable to one-half the  88 Simplify: y 44 y Square root of a variable to an even power = the variable to one-half the  13 12 1 Simplify: x  x x 12 x  x 6 x x  27 Simplify: x 26 x  x 13 x x  8 Simplify: 36x 2 8 6  x 4 6x  10 Simplify: 49 y 5 7y  6 Simplify: 45x 6 9x  5 3 3x 5  7 Simplify: 50 y 6 25 y  2 y 3 5y 2y  9 Simplify: 48y 4 16 y  3 y 2 4y 3y  16 Simplify: 80 y 16 16 y  5 8 4y 5  36 Simplify:  y  3 18  y  3  2 Simplify: 2 x  20 x  50 2x  10 x  25 2 2 x  5 2 2 x  5  2 Simplify: y 6y 9 2  y  3 y 3  10 Simplify: 4  x  5 10 4  x  5 5 2 x  5  9 Simplify: 50  y  7  8 25  y  7   2  y  7  4 5 y  7 2  y  7  3 Simplify: 36x 6x x  2 3 4 448x y 87x y 7y Simplify: 4 6 4x y  112 y 2 3 2x y  4  28y 2x y  2  4  7 y 2 3 SEATWORK 2.7 SW2.7A (5MINUTES) SW 2.7A: Simplify the following SW2.7B (5MINUTES) SW 2.7B: Simplify the following SW2.7C (5MINUTES) SW 2.7C: Simplify the following SW2.7D (10MINUTES) SW 2.7D: Simplify the following