564 Chapter 10Radical Functions and EquationsExercises10.3Dynamic Solutionsavailable at BigIdeasMath.com 1. VOCABULARY Why should you check every solution of a radical equation? 2. WHICH ONE DOESN’T BELONG? Which equation does not belong with the other three? Explain your reasoning.x √— 3 5 4√— x + 6 102 √— x + 3 32 √— x 1 16Vocabulary and Core Concept CheckVocabularyand Core ConceptCheckIn Exercises 3–12, solve the equation. Check your solution. (See Example 1.)3. √— x 9 4. √— y 45. 7 √— m 5 6. √— p 7 17. √— c + 12 23 8. √— x + 6 89. 4 √— a 2 10. 8 7 √— r 11.3 √— y 18 3 12. 2 √— q + 5 11In Exercises 13–20, solve the equation. Check your solution. (See Example 2.)13.√— a 3 + 5 9 14. √— b + 7 5 215.2 √— x + 4 16 16. 5 √— y 2 1017.1 √— 5r + 1 7 18. 2 √— 4s 4 419. 7 + 3 √— 3p 9 25 20. 19 4 √— 3c 11 11 21. MODELING WITH MATHEMATICS The Cave of Swallows is a natural open-air pit cave in the state of San Luis Potosí, Mexico. The 1220-foot- deep cave was a popular destination for BASE jumpers. The function t 1 — 4 √— d represents the time t (in seconds) that it takes a BASE jumper to fall d feet. How far does a BASE jumper fall in 3 seconds? 22. MODELING WITH MATHEMATICS The edge length s of a cube with a surface area of A is given bys — A — 6 . Whatis the surface areaof acube with an edge length of4 inches?In Exercises 23–26, use the graph to solve the equation.23. √— 2x + 2 √— x + 3 24. √— 3x + 1 √— 4x 4 xy223yy x + 322xy 2x + 2 xy246246y 4x 4y 3x + 125. √— x + 2 √— 2x 0 26. √— x + 5 √— 3x + 7 0 y 2xy x + 2224xy24 y 3x + 7y x + 5241xy3In Exercises 27–34, solve the equation. Check your solution. (See Example 3.)27. √— 2x 9 √— x 28. √— y + 1 √— 4y 8 29. √— 3g + 1 √— 7g 19 30. √— 8h 7 √— 6h + 7 31. — p — 2 2 √— p 8 32. √— 2v 5 √— v — 3 + 5 33. √— 2c + 1 √— 4c 0 34. √— 5r √— 8r 2 0Monitoring Progress and Modeling with MathematicsMonitoring Progress and Modeling with Mathematicssss