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Mathematics 9 Online
OpenStudy (anonymous):

Simplifying radicals with variables and exponents.

OpenStudy (anonymous):

\[\huge \sqrt{18n} \times \sqrt{98n^3}\]

hartnn (hartnn):

tried?

OpenStudy (anonymous):

\[\huge \sqrt {18n}=3 \sqrt {2n}\] \[\huge \sqrt {98}= 7 \sqrt {2}\] \[\huge \sqrt {n^3}=\sqrt {n} \sqrt{n^2}=n \sqrt {n}\] \[\huge 3 \times 7 \times n \sqrt{2n \times 2 \times n}\] \[\huge 21n \sqrt{4n^2}?\]

hartnn (hartnn):

yes, but that can still be simplified!

hartnn (hartnn):

\(\sqrt {n^2} = n\)

hartnn (hartnn):

\(\sqrt 4 = 2\)

OpenStudy (anonymous):

\[\huge 21n \sqrt{2n}\]

hartnn (hartnn):

no... \(\huge 21n \sqrt{4n^2} = 21n \sqrt 4 \sqrt {n^2} = 21n \times 2n = ...\)

OpenStudy (anonymous):

Oh okay So \[\huge 42n\]

OpenStudy (anonymous):

Oops it didn't show all my work\[\huge 42n^2\]

hartnn (hartnn):

you are \(\huge \color{red}{\checkmark}\)

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