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WS 7.2 : Find exact answers and rationalize denominators NAME___________________________ 1. 2. An object moves at a speed of (3+ 2) feet / sec . How long will it take for the object to travel 10ft? Pr 2 related by the equation: P = 50 3. Solve the vol. of a sphere formula for the radius with a volume of 3 units3 V sphere = ( 3 4P 4 3 Pr 3 ) ( 3v) 3 (x) that has a vol. of If 7. The Volume (V) of a cube is related to its surface æ Sö è6ø area (S) with the formula: V= ç ÷ 5 3 u 12 V pyramid = 1 2 xh 3 6. A rectangular prism has dimensions 3 x 4 x 7 . What is the length of the segment that connects the front left bottom corner to the back upper corner? 2 vol. is increased by factor of 8, how does S change 3 2 Solve for r. 4. Solve the volume of a pyramid formula for side length 5. The surface area (S) and volume (V) of a sphere are related by the formula: S= The power P, in watts, that a circular cell produces and the radius of the solar cell are 8. Find the radius of a cone that has a volume of 9 cubic inches and a height equal to its radius. Solve for S Vol cone = 1 Pr 2 h 3 Hint: Undo power by raising both sides to reciprocal (2/3)! Simplify each expression. Rationalize all denominators. Assume that all variables are positive. 9. 3 4 3 80 10. 5 2 xy 6 2 2 x 3 y 11. 3 5 21 12. 3 2x 3 4 3 2x 2 13. 5x 4 2x 2 y 3 Simplify each radical expression. Assume that all variables are positive. 14. 81c 48 d 64 15. 5 32 y 25 16. 7 x14 y 35 Divide. Tell whether the divisor is a factor of the dividend. 17. x 3 27 x 3 2x 18. 4 3x 3 4 x 10 x 2 Simplify. Rationalize all denominators. Assume that all variables are positive. 20. 3 3 16 4 3 54 3 128 75 4 18 2 32 19. 23. 2 y 3 2 4 y 5 2 24. 4 6 2 3 21. 2 5 3 2 5 5 7 2 25. 3 3 2 3 2 22. 2 98 3 18