Basic Technical Mathematics, 11th Edition

Exercises 11.3, page 335

1. 1. $a{b}^2\sqrt{a}$

2. 3. ${\displaystyle \frac{\sqrt[4]{54}}{3}}$

3. 5. $5\sqrt{3}$

4. 7. $6\sqrt{3}$

5. 9. $x{y}^2\sqrt{y}$

6. 11. $x^{2}y{z}^3\sqrt{y}$

7. 13. $4R^2{V}^2\sqrt{5RT}$

8. 15. $2\sqrt[3]{2}$

9. 17. $2\sqrt[5]{3}$

10. 19. $2\sqrt[3]{a^2}$

11. 21. $2st\sqrt[4]{4r^{3}t}$

12. 23. $\hspace{0.17em}-\hspace{0.17em}2$

13. 25. $P\sqrt[3]{V}$

14. 27. ${\displaystyle \frac{2\sqrt{3}}{3}}$

15. 29. ${\displaystyle \frac{1}{2}}\sqrt{6}$

16. 31. ${\displaystyle \frac{1}{2}}\sqrt[3]{6}$

17. 33. ${\displaystyle \frac{1}{3}}\sqrt[5]{27}$

18. 35. $2\sqrt{5}$

19. 37. 2

20. 39. 200

21. 41. 2000

22. 43. $\sqrt{3y}$

23. 45. ${\displaystyle \frac{1}{2}}\sqrt{2}$

24. 47. $\sqrt[3]{2}$

25. 49. $\sqrt[8]{n}$

26. 51. ${\displaystyle \frac{2u\sqrt{7uv}}{v^3}}$

27. 53. $4\sqrt{13}$

28. 55. ${\displaystyle \frac{\sqrt{6x}}{3c^2}}$

29. 57. ${\displaystyle \frac{3}{4}}\sqrt{2}$

30. 59. ${\displaystyle \frac{\sqrt{xy(x^2\hspace{0.17em}+\hspace{0.17em}{y}^2)}}{xy}}$

31. 61. ${\displaystyle \frac{\sqrt{C^2\hspace{0.17em}-\hspace{0.17em}4}}{C\hspace{0.17em}+\hspace{0.17em}2}}$

32. 63. $\sqrt{a^2\hspace{0.17em}+\hspace{0.17em}{b}^2}$

33. 65. $3x\hspace{0.17em}-\hspace{0.17em}1$

34. 67. $\sqrt[6]{a^3}\hspace{0.17em};\hspace{0.17em}\sqrt[6]{b^2}\hspace{0.17em};\hspace{0.17em}\sqrt[6]{c}$

35. 69.

    

36. 71. $f\hspace{0.17em}=\hspace{0.17em}{\displaystyle \frac{\sqrt{\mu T}}{2\mu L}}$

37. 73. $\sqrt{2ag}$

38. 75. ${\displaystyle \frac{8Af\sqrt{f^2\hspace{0.17em}+\hspace{0.17em}{f}_0^2}}{{\pi }^2(f^2\hspace{0.17em}+\hspace{0.17em}{f}_0^2)}}$