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Name___________________________ Period___ 8R 13.2 Perfect Squares and Cubes CLASS WORK Perfect Squares and Perfect Cubes Vocabulary: • Perfect square- the answer to a number multiplied by itself two times. • Square root- the number that when multiplied by itself is equal to the given number. • Perfect cube- the answer to a number multiplied by itself three times. • Cube root- a number that when raised to the third power is equal to the given number. • Radicand- the number under the radical symbol. Part 1: Perfect Squares List the first 15 perfect squares: ____ , ____ ,_____ , ____ , ____ , ____ ,_____ , ____ ,_____ , ____ ,_____ ,_____ , ____ ,_____ ,_____ 12 22 32 42 52 62 72 82 92 102 112 122 132 142 152 Examples: Simplify 1) √36 = ________ because ( 3) ±√. 09 = ________ 2) −√64 = ________ )2 is 36 4) 5) − = ________ √ = ________ √ Part 2: Perfect Cubes List the first 10 perfect cubes: _____ , _____ , _____ , _____ , _____ , _____ , _____ , _____ , _____ , _____ 13 23 33 43 53 63 73 83 93 103 Examples: Simplify 6) √27 = ________ because ( )3 is 27 8) ± √125 = ________ 9) 7) − √8 = ________ 10) − = ________ √ √ = ________ Part 3: Equations: Solve each equation for x Examples: 11) = 81 2) = 1000 3) = 1.44 4) = 121 5) = 512 Try These: 1) √9 2) −√100 4) 5) 7) = 36 √ 6) √4 + 5 √ 8) 3) ±√. 0004 =1 = 144 9) 10) The area of a square boxing ring is 225ft2. What is the length of one side? (a = s2) 11) √125 12) − √64 13) 14) − √216 15) 16) 17) 18) =.064 = 1000 20) The volume of a cube is 125 ft3. What is the length of one side? ( v = s3) √1 √ √ 19) x3 =