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Mathematics 14 Online
OpenStudy (yanni):

rewrite in simplified radical form

OpenStudy (yanni):

|dw:1341870974781:dw|

OpenStudy (anonymous):

\[\sqrt{8x^6}\]?

OpenStudy (anonymous):

or \[\sqrt{18x^6}\]

OpenStudy (yanni):

the second one

OpenStudy (anonymous):

\[18=9\times 2\] and so \[\sqrt{18}=\sqrt{9\times 2}=\sqrt{9}\times \sqrt{2}=3\sqrt{2}\] also \[\sqrt{x^6}=\sqrt{(x^3)^2}=x^3\] your answer is therefore \[\sqrt{18x^6}=3x^3\sqrt{2}\]

OpenStudy (anonymous):

Example: \[\Large{\sqrt{4x^{3}} = \sqrt{(2x)^{2}x} = \sqrt{(2x)^{2}} \sqrt{x} = 2x \sqrt{x}}\]

OpenStudy (anonymous):

@satellite73 LOL, had that ready didja? :)

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