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Mathematics 8 Online
OpenStudy (anonymous):

Rationalize the denominator of...

OpenStudy (anonymous):

\[\LARGE \sqrt{18}/\sqrt{3}\]

OpenStudy (anonymous):

"sqr root of 18 over sqr root of 3"

OpenStudy (anonymous):

Multiply by \(\LARGE {\sqrt 3 \over \sqrt 3}\).

OpenStudy (anonymous):

\[\large A) 6\] \[\large B) \frac{ 2\sqrt{3} }{ 3}\] \[\large C) \frac{ 3\sqrt{3} }{ 2 }\] \[\large D) \sqrt{6}\]

OpenStudy (anonymous):

BTW, if you want some equation writing tips: \LARGE \frac{ \sqrt{18} }{ \sqrt 3 } or: \LARGE { \sqrt{18} \over \sqrt 3 }

OpenStudy (anonymous):

Thanks, I got it :) & Idk the answer to the question you asked up there about multiplying those two...

OpenStudy (anonymous):

\[\Large {{ \sqrt{18} \over \sqrt 3 }\cdot{\sqrt 3 \over \sqrt 3}}\]

OpenStudy (anonymous):

Remember that \(\LARGE {\sqrt 3 \over \sqrt 3}\large =1\).

OpenStudy (anonymous):

Oh, I didn't know that,

OpenStudy (anonymous):

\[\sqrt{18}=3\sqrt{2}\]

OpenStudy (anonymous):

So where do I go from there?

OpenStudy (anonymous):

\[\frac{ 3\sqrt{2} }{ \sqrt{3} }\times \frac{ \sqrt{3} }{ \sqrt{3} }\]

OpenStudy (anonymous):

I'm so confused...

jhonyy9 (jhonyy9):

\[\sqrt{18}/\sqrt{3} = \sqrt{2*9}/\sqrt{3} =3\sqrt{2}/\sqrt{3}\]

jhonyy9 (jhonyy9):

so for you can rationalize the denominator you need multiplie this fraction by (sqrt3)/(sqrt3) so than will get \[3\sqrt{2}/\sqrt{3} *\sqrt{3}/\sqrt{3}=3\sqrt{2}*\sqrt{3}/\sqrt{3}*\sqrt{3}=\]

jhonyy9 (jhonyy9):

\[=3\sqrt{6}/3 =\sqrt{6}\]

jhonyy9 (jhonyy9):

ok ? do you understand it now ?

jhonyy9 (jhonyy9):

@ExtremeAnon are you here ?

OpenStudy (anonymous):

sorry, i was doing another problem. yes, i'm here. & yes i get it now, i think :) thank you!

OpenStudy (anonymous):

@jhonyy9

jhonyy9 (jhonyy9):

so than yw was my pleasure good luck bye

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