magliot2alunttell magliot2alunttell

17-07-2016
Mathematics

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what is the exact value of the expressions the square root of 180. − the square root 125. the square root of 5.? simplify if possible.

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dalendrk dalendrk

17-07-2016

[tex]\sqrt{180}-\sqrt{125}\\\\\sqrt{180}=\sqrt{36\cdot5}=\sqrt{36}\cdot\sqrt5=6\sqrt5\\\sqrt{125}=\sqrt{25\cdot5}=\sqrt{25}\cdot\sqrt5=5\sqrt5\\\\\sqrt{180}-\sqrt{125}=6\sqrt5-5\sqrt5=(6-5)\sqrt5=\sqrt5[/tex]

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