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Answer:
[tex]4 + 6 \sqrt{2} [/tex]
Step-by-step explanation:
[tex] \sqrt{32} + \sqrt{16} + \sqrt{8} [/tex]
[tex] \sqrt{32} = \sqrt{4 \times 4 \times 2} = 4\sqrt{2} [/tex]
[tex] \sqrt{16} = \sqrt{4 \times 4} = 4[/tex]
[tex] \sqrt{8} = \sqrt{2 \times 2 \times 2} = 2 \sqrt{2} [/tex]
[tex]4 + 4\sqrt{2} + 2 \sqrt{2} = 4 + 6 \sqrt{2} [/tex]