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25-10-2018
Mathematics

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Simplify 3 square root of 5 end root minus 2 square root of 7 end root plus the square root of 45 end root minus square root of 28.

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25-10-2018

[tex]3\sqrt5-2\sqrt7+\sqrt{45}-\sqrt{28}\\\\=3\sqrt5-2\sqrt7+\sqrt{9\cdot5}-\sqrt{4\cdot7}\\\\=3\sqrt5-2\sqrt7+\sqrt9\cdot\sqrt5-\sqrt4\cdot\sqrt7\\\\=3\sqrt5-2\sqrt7+3\sqrt5-2\sqrt7\\\\=(3\sqrt5+3\sqrt5)+(-2\sqrt7-2\sqrt7)\\\\=\boxed{6\sqrt5-4\sqrt7}[/tex]

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