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01-07-2017
Mathematics

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Rationalize the denominator (-7x^2)/√(6x-6)

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jdoe0001 jdoe0001

01-07-2017

[tex]\bf \cfrac{-7x^2}{\sqrt{6x-6}}\cdot \cfrac{\sqrt{6x-6}}{\sqrt{6x-6}}\implies \cfrac{-7x^2\sqrt{6x-6}}{\sqrt{(6x-6)^2}}\implies \cfrac{-7x^2\sqrt{6x-6}}{6x-6}[/tex]

the idea being, getting rid of the pesky radical at the bottom, simply multiply it by something that'd raise it to the root, so it gets out :)

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