Math 025 Section 10.1 Radicals. Perfect square Square root 1  1 = 1 4  4 = 2 9  9 = 3 16  16 = 4 25  25 = 5 36  36 = 6 49  49 = 7 64  64 = 8 81.

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Presentation transcript:

Math 025 Section 10.1 Radicals

Perfect square Square root 1  1 = 1 4  4 = 2 9  9 = 3 16  16 = 4 25  25 = 5 36  36 = 6 49  49 = 7 64  64 = 8 81  81 =  100 =  121 =  144 =  169 =  196 =  225 = 15 Perfect square Square root

Simplified radical form  18 = 99 22 3 22 =  108 =  36 33 6 33 = 3  96 = 3  16 66 12 66 = No factor inside the radical should be a perfect square.

Simplifying variable radical expressions x6x6 x 3 =  x 15 =  x 14 xx x 7 xx = x9x9 = x8x8 xx 4x 4 xx = A variable with an even exponent is a perfect square 44

Simplifying radical expressions  16x 7 4x 3 = 5x  x 3 y 4 =  x 2 y 4 xx 5x 2 y 2 xx =  96x 5 y 7 =  16x 4 y 6  6xy 4x 2 y 3  6xy = Simplify each of the following =  16x 6 xx xx 5x

Simplifying radical expressions  81(x – 2) 2 9(x – 2)=  x 2 + 6x + 9  (x + 3) 2 = x + 3= Simplify each of the following 9x – 18= ( )