[tex] \sqrt{50} + 4 \sqrt{5} - \sqrt{200} = [/tex]
[tex] \sqrt{25·2} + 4 \sqrt{5} - \sqrt{100·2} = [/tex]
[tex] \sqrt{25} \sqrt{2} + 4 \sqrt{5} - \sqrt{100} \sqrt{2} = [/tex]
[tex]5 \sqrt{2} + 4 \sqrt{5} - 10 \sqrt{2} = [/tex]
[tex](5 - 10) \sqrt{2} + 4 \sqrt{5} = [/tex]
[tex] - 5 \sqrt{2} + 4 \sqrt{5} [/tex]
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[tex] \sqrt{50} + 4 \sqrt{5} - \sqrt{200} = [/tex]
[tex] \sqrt{25·2} + 4 \sqrt{5} - \sqrt{100·2} = [/tex]
[tex] \sqrt{25} \sqrt{2} + 4 \sqrt{5} - \sqrt{100} \sqrt{2} = [/tex]
[tex]5 \sqrt{2} + 4 \sqrt{5} - 10 \sqrt{2} = [/tex]
[tex](5 - 10) \sqrt{2} + 4 \sqrt{5} = [/tex]
[tex] - 5 \sqrt{2} + 4 \sqrt{5} [/tex]