[tex] \sqrt{7 + 2 \sqrt{10} } = [/tex]
[tex] \sqrt{5 + 2 + 2 \sqrt{5·2} } = [/tex]
[tex] \sqrt{5} + \sqrt{2} [/tex]
[tex] \sqrt{12 + 2 \sqrt{20} } = [/tex]
[tex] \sqrt{10 + 2 + 2 \sqrt{10·2} } = [/tex]
[tex] \sqrt{10} + \sqrt{2} [/tex]
[tex] \sqrt{12 - 2 \sqrt{27} } = [/tex]
[tex] \sqrt{9 + 3 - 2\sqrt{9·3} } = [/tex]
[tex] \sqrt{9} - \sqrt{3} = [/tex]
[tex]3 - \sqrt{3} [/tex]
[tex] \sqrt{11 - 2 \sqrt{24} } = [/tex]
[tex] \sqrt{8+ 3 - 2 \sqrt{8·3} } = [/tex]
[tex] \sqrt{8} + \sqrt{3 } = [/tex]
[tex] \sqrt{4·2} - \sqrt{3} = [/tex]
[tex] \sqrt{4} \sqrt{2} - \sqrt{3} = [/tex]
[tex]2 \sqrt{2} - \sqrt{3} [/tex]
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a
[tex] \sqrt{7 + 2 \sqrt{10} } = [/tex]
[tex] \sqrt{5 + 2 + 2 \sqrt{5·2} } = [/tex]
[tex] \sqrt{5} + \sqrt{2} [/tex]
b
[tex] \sqrt{12 + 2 \sqrt{20} } = [/tex]
[tex] \sqrt{10 + 2 + 2 \sqrt{10·2} } = [/tex]
[tex] \sqrt{10} + \sqrt{2} [/tex]
c
[tex] \sqrt{12 - 2 \sqrt{27} } = [/tex]
[tex] \sqrt{9 + 3 - 2\sqrt{9·3} } = [/tex]
[tex] \sqrt{9} - \sqrt{3} = [/tex]
[tex]3 - \sqrt{3} [/tex]
d
[tex] \sqrt{11 - 2 \sqrt{24} } = [/tex]
[tex] \sqrt{8+ 3 - 2 \sqrt{8·3} } = [/tex]
[tex] \sqrt{8} + \sqrt{3 } = [/tex]
[tex] \sqrt{4·2} - \sqrt{3} = [/tex]
[tex] \sqrt{4} \sqrt{2} - \sqrt{3} = [/tex]
[tex]2 \sqrt{2} - \sqrt{3} [/tex]