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Simplifying radicals with variables and exponents.
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\[\huge \sqrt{18n} \times \sqrt{98n^3}\]
tried?
\[\huge \sqrt {18n}=3 \sqrt {2n}\] \[\huge \sqrt {98}= 7 \sqrt {2}\] \[\huge \sqrt {n^3}=\sqrt {n} \sqrt{n^2}=n \sqrt {n}\] \[\huge 3 \times 7 \times n \sqrt{2n \times 2 \times n}\] \[\huge 21n \sqrt{4n^2}?\]
yes, but that can still be simplified!
\(\sqrt {n^2} = n\)
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\(\sqrt 4 = 2\)
\[\huge 21n \sqrt{2n}\]
no... \(\huge 21n \sqrt{4n^2} = 21n \sqrt 4 \sqrt {n^2} = 21n \times 2n = ...\)
Oh okay So \[\huge 42n\]
Oops it didn't show all my work\[\huge 42n^2\]
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