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13-02-2018
Mathematics

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What is the simplified form of the expression: 2√18-5√32 ?
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WojtekR WojtekR

13-02-2018

[tex]2\sqrt{18}-5\sqrt{32}=2\sqrt{9\cdot2}-5\sqrt{16\cdot2}=2\cdot\sqrt{9}\cdot\sqrt{2}-5\cdot\sqrt{16}\cdot\sqrt{2}=\\\\\\=2\cdot3\cdot\sqrt{2}-5\cdot4\cdot\sqrt{2}=6\sqrt{2}-20\sqrt{2}=\boxed{-14\sqrt{2}}[/tex]

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