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How do you simplify this radical: (√10 + √6)(√30 - √18)?

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[tex](\sqrt{10} + \sqrt{6})(\sqrt{30} - \sqrt{18}) [/tex]
[tex]\sqrt{100} - \sqrt{180} + \sqrt{180} - \sqrt{108} [/tex]
[tex]10 - 6\sqrt{5} + 6\sqrt{5} - 6\sqrt{3} [/tex]
[tex]10 - 6\sqrt{3} [/tex]
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