Step-by-step explanation:
[tex] \sqrt{6} - \sqrt{3} + \sqrt{2} - 1 \\ \\ = \sqrt{3 \times 2} - \sqrt{3} + \sqrt{2} - 1 \\ \\ = (\sqrt{3} \times \sqrt{2} - \sqrt{3} ) + (\sqrt{2} - 1) \\ \\ = \sqrt{3} ( \sqrt{2} - 1) + 1(( \sqrt{2} - 1) \\ \\ = ( \sqrt{2} - 1)( \sqrt{3} + 1)[/tex]
