Explicație pas cu pas:
[tex]a) \sqrt{8} + \sqrt{18} - \sqrt{32} = \\ \\ 2 \sqrt{2} + 3 \sqrt{2} - 4 \sqrt{2} = \\ \\ (2 + 3 - 4) \sqrt{2} = \\ \\ (5 - 4) \sqrt{2} = \\ \\ 1 \sqrt{2} = \\ \\ \sqrt{2} [/tex]
[tex]b) \sqrt{45} + \sqrt{20} - \sqrt{125} = \\ \\ 3 \sqrt{5} + 2 \sqrt{5} - 5 \sqrt{5} = \\ \\ (3 + 2 - 5) \sqrt{5} = \\ \\ (5 - 5) \sqrt{5} = \\ \\ 0 \sqrt{5} = \\ \\ 0 [/tex]
[tex]c) \sqrt{27} + \sqrt{243} + \sqrt{75} - \sqrt{108} = \\ \\ 3 \sqrt{3} + 9 \sqrt{3} + 5 \sqrt{3} - 6 \sqrt{3} = \\ \\ (3 + 9 + 5 - 6) \sqrt{3} = \\ \\ (12 + 5 - 6) \sqrt{3} = \\ \\ (17 - 6) \sqrt{3} = \\ \\ 11 \sqrt{3} [/tex]
[tex]d) \sqrt{72} - \sqrt{98} + \sqrt{128} = \\ \\ 6 \sqrt{2} - 7 \sqrt{2} + 8 \sqrt{2} = \\ \\ (6 - 7 + 8) \sqrt{2} = \\ \\ (14 - 7) \sqrt{2} = \\ \\ 7 \sqrt{2} [/tex]
