Preparatory Mathematics Radicals For questions worth more than 1 mark, show all your work, not just the final answer. Simplify. 1. V12 + 4V12 - V27 2. 3V2 x 2V3 x 5V6 3. 2V45 Write as entire radicals. 4. 5V3 5 . abvb 6. 3av3 Rationalize the denominator. 3v/6 7. 15 2 8. 2 + 1/3 2V/3 9. 3VZ Solve each problem. Do not use a calculator. Leave your answers in radical form. 10. Square the two expressions below to determine which is greater. V3 + V12 or V10 + v5 11. Find the length of the diagonal of a room that measures 20 feet by 30 feet. Page 1 of 2 February 2021Solve for the unknown. Write your final answer in decimal form, rounded to three decimal places. 12. _x2 + 5 = 11 13. 3x2 = 2x2 + 3 14. 5x2 = 3x2 + 126 Evaluate. Write your final answer in decimal form, rounded to three decimal places. 15. 5+V7 3+V7 16. #5V2 - 2130x067/2+3730 Simplify. 17. 17 18. V-27V-3 19. (-51) - (8 + 91) 20. (4-51)2 21. 1+2i 3 - 41 17. Solve for x and y. 18. 19. x + 2-3i =7 + (y -1)i Page 2 of 2 February 2021