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Name _______________________________ Period _______ Date ________________________ Unit 1 Study Guide– Square Roots and Cube Roots Final Answers List the first 15 perfect squares. 1. Identify the two square roots of each number. 2. 64 2. 3. 121 3. 4. 81 4. Identify the cube root of each number. 5. 27 5. 6. 125 6. Simplify each expression 7. √49 + √196 7. 8. √300 − 75 − √9 8. 3 9. √8 + √4 10. √16 - √169 9. 10. Each square root is between two consecutive integers. Name the integers and approximate the square root to the nearest hundredth. √17 11. 11. √115 12. 12. √88 13. 13. Name _______________________________ Period _______ Date ________________________ − √130 14. 14. Apply your knowledge by answering the following questions. Sheena is trying to determine how much icing she will need to put the border on a birthday cake she is making. What is the perimeter of her square cake pan with an area of 64 square 15. inches? Arianna is moving to college and has many items she wants to take with her. She has decided to pack some of her items in a crate the shape of a cube. If one side of the crate is 2 feet in length, how much of Arianna’s stuff will the crate hold (in 16. cubic feet)? 17. 18. Mario is designing a video game and has to build the board so that no square in the game is more than 25 square inches. What is the longest side length any square could have? Max knows everything these is to know about baseball, such as the dimensions of each square base. If he tells you each base (except home which is five sided!) is 225 square inches, what is the length of each base? 15. 16. 17. 18.