3.
[tex] \sqrt{6} + \sqrt{54} - \sqrt{150} \\ = \sqrt{6} + \sqrt{9 \times 6} - \sqrt{25 \times 6} \\ = \sqrt{6} + 3 \sqrt{6} - 5 \sqrt{6} \\ = - \sqrt{6} [/tex]
4.
[tex]( \sqrt{72} - \sqrt{5} )( \sqrt{5} - \sqrt{32} ) \\ = ( \sqrt{72} \times \sqrt{5} )( \sqrt{72} \times ( - \sqrt{32} )( - \sqrt{5} \times \sqrt{5} )( - \sqrt{5} \times ( - \sqrt{32} ) \\ = \sqrt{360} - \sqrt{2.304} - 5 + \sqrt{160 } \\ = \sqrt{36 \times 10} - 48 - 5 + \sqrt{16 \times 10} \\ = 6 \sqrt{10} - 48 - 5 + 4 \sqrt{10} \\ = (6 \sqrt{10} + 4 \sqrt{10} )( - 48 - 5) \\ = 10 \sqrt{10} - 53 \\ [/tex]
5.
[tex] {( \sqrt{6} - \sqrt{2}) }^{2} \\ = ( \sqrt{6} - \sqrt{2} )( \sqrt{6} - \sqrt{2} ) \\ = ( \sqrt{6} \times \sqrt{6} )( \sqrt{6} \times ( - \sqrt{2} )( - \sqrt{2} \times \sqrt{6})( - \sqrt{2} \times ( - \sqrt{2} )) \\ = 6 - \sqrt{12} - \sqrt{12} + 2 \\ = 6 - \sqrt{4 \times 3} - \sqrt{4 \times 3} + 2 \\ = 6 - 2 \sqrt{3} - 2 \sqrt{3} + 2 \\ = 8 - 4 \sqrt{3} [/tex]
MAAF KALAU SALAH
SEMOGA MEMBANTU
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