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26-04-2018
Mathematics

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Simplify the rational expression by rationalizing the denominator 3sqrt160/sqrt1350x

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TheWiseOrange TheWiseOrange

26-04-2018

[tex] \cfrac{3 \sqrt{160} }{ \sqrt{1350x} } [/tex]

[tex]= \cfrac{3 \sqrt{160} \times \sqrt{1350x}}{ \sqrt{1350x} \times \sqrt{1350x} }[/tex]

[tex]= \cfrac{ 3\sqrt{216000} }{1350x}[/tex]

[tex] = \cfrac{ 120\sqrt{15x} }{1350x} [/tex]

[tex] = \cfrac{4 \sqrt{15x} }{45x} [/tex]

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