MATHEMATICS
MORE EXERCISES
Solving equations containing square roots.

Question  1
Solve the following equations :
$$\hspace*{2 mm}\mathrm{1.\kern3mm\sqrt{2x + 1} − 3 = 0\kern2mm\ }$$                         [ A 1. ]
$$\hspace*{2 mm}\mathrm{2.\kern3mm\sqrt{x + 7} = x + 1\kern2mm\ }$$                            [ A 2. ]
$$\hspace*{2 mm}\mathrm{3.\kern3mm\sqrt{3a + 13}− 3 = a\kern2mm\ }$$                        [ A 3. ]
$$\hspace*{2 mm}\mathrm{4.\kern3mm\sqrt{4m − 3} + 1 = 2m\kern2mm\ }$$                     [ A 4. ]
$$\hspace*{2 mm}\mathrm{5.\kern3mm\sqrt{p − 1} = p − 3\kern2mm\ }$$                           [ A 5. ]
$$\hspace*{2 mm}\mathrm{6.\kern3mm\sqrt{2b + 2} − b = − 3\kern2mm\ }$$                      [ A 6. ]
$$\hspace*{2 mm}\mathrm{7.\kern3mm8 − 2\sqrt{2x + 5} = x\kern2mm\ }$$                       [ A 7. ]
$$\hspace*{2 mm}\mathrm{8.\kern3mm11 − 3\sqrt{2a + 5} = a\kern2mm\ }$$                    [ A 8. ]
$$\hspace*{2 mm}\mathrm{9.\kern3mmp − \sqrt{p + 5} = 1\kern2mm\ }$$                          [ A 9. ]
$$\hspace*{2 mm}\mathrm{10.\kern3mm2a = 3\sqrt{a} + 2\kern2mm\ }$$                            [ A 10. ]
$$\hspace*{2 mm}\mathrm{11.\kern3mm\sqrt{3m + 4} = 2m + 3\kern2mm\ }$$                  [ A 11. ]
$$\hspace*{2 mm}\mathrm{12.\kern3mm\sqrt{2x + 2} − x = − 3\kern2mm\ }$$                      [ A 12. ]
$$\hspace*{2 mm}\mathrm{13.\kern3mm3y − 1 = \sqrt{4y − 7} + 2y\kern2mm\ }$$             [ A 13. ]
$$\hspace*{2 mm}\mathrm{14.\kern3mmx + 1 = \sqrt{x^2 + 15}\kern2mm\ }$$                      [ A 14. ]
$$\hspace*{2 mm}\mathrm{15.\kern3mm6\sqrt{4z − 3} + 1 = 2z\kern2mm\ }$$                   [ A 15. ]
$$\hspace*{2 mm}\mathrm{16.\kern3mmx − \sqrt{2x − 1} = 2\kern2mm\ }$$                        [ A 16. ]
$$\hspace*{2 mm}\mathrm{17.\kern3mm2a − 1 = \sqrt{4a − 3} + 2\kern2mm\ }$$               [ A 17. ]
$$\hspace*{2 mm}\mathrm{18.\kern3mm2\sqrt{5 − 2m} = m + 8\kern2mm\ }$$                   [ A 18. ]
$$\hspace*{2 mm}\mathrm{19.\kern3mm\sqrt{7 + p^2} = 10 + 2p\kern2mm\ }$$                   [ A 19. ]
$$\hspace*{2 mm}\mathrm{20.\kern3mm\sqrt{3q + 1} + 2q = 3q − 1\kern2mm\ }$$            [ A 20. ]
$$\hspace*{2 mm}\mathrm{21.\kern3mm y + \sqrt{3 − y} + 1 = 0\kern2mm\ }$$                    [ A 21. ]
$$\hspace*{2 mm}\mathrm{22.\kern3mm\sqrt{− x − 3} = x + 6\kern2mm\ }$$                         [ A 22. ]
$$\hspace*{2 mm}\mathrm{23.\kern3mm2\sqrt{−p − 3} = p + 6\kern2mm\ }$$                      [ A 23. ]
$$\hspace*{2 mm}\mathrm{24.\kern3mm\sqrt{\sqrt{x} − 1} = 2\kern2mm\ }$$                              [ A 24. ]