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