[tex]14)b)x = \sqrt{ {(1 - 2 \sqrt{2} )}^{2} } [/tex]
[tex]x = |1 - 2 \sqrt{2} | [/tex]
[tex]1 - 2 \sqrt{2} < 0 = > |1 - 2 \sqrt{2} | = 2 \sqrt{2} - 1[/tex]
[tex]x = 2 \sqrt{2} - 1[/tex]
[tex]y = \sqrt{8} = 2 \sqrt{2} [/tex]
[tex] = > 2 \sqrt{2} - 1 < 2 \sqrt{2} [/tex]
[tex] = > x < y[/tex]
