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Mathematics 13 Online
OpenStudy (fanduekisses):

Rationalizing radicals, did I do it right?

OpenStudy (fanduekisses):

\[\frac{ 2 }{ \sqrt[3]{4x^2} }\] = \[\frac{ 4 }{ 16x }\]

OpenStudy (fanduekisses):

oops I mean it equals \[\frac{ 2\sqrt[3]{1025x} }{ 16x }\]

OpenStudy (anonymous):

\[\frac{ 2 }{ \sqrt{4x^2} }\] first simplify as you can the denominator. to do this write the denominator as two radicals \[\sqrt{4}*\sqrt{x^2}=2x\]

OpenStudy (fanduekisses):

Actuallu I did it again and i got 2root3(16x)/4x

OpenStudy (fanduekisses):

oh ok

TheSmartOne (thesmartone):

wrong.

TheSmartOne (thesmartone):

Your question has \(\sf\Huge \sqrt[3]{4x^2}\) in the denominator not \(\sf\Large\sqrt{4x^2}\)

OpenStudy (anonymous):

oh. sorry.

TheSmartOne (thesmartone):

To rationalize the denominator, you need to multiply the number and denominator by the conjugate. So: |dw:1429144050915:dw|

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