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Mathematics 6 Online
OpenStudy (jiteshmeghwal9):

Plz help:)

OpenStudy (jiteshmeghwal9):

If \[x=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}} \]& \[y=1.\]The value of \[\frac{x-y}{x-3y}\] is ?

mathslover (mathslover):

rationalize x

OpenStudy (jiteshmeghwal9):

Its answer is \[\color{red}{\frac{\sqrt{6}+4}{5}.}\]

OpenStudy (jiteshmeghwal9):

I m nt getting my answer actually. I have rationalised it

mathslover (mathslover):

\[\huge{x=\frac{5+\sqrt{6}}{1}}\] \[\huge{x=5+\sqrt{6}}\]

OpenStudy (jiteshmeghwal9):

I have tried my best.

OpenStudy (jiteshmeghwal9):

anybody tell me is the answer wrong?

mathslover (mathslover):

\[\huge{\frac{4+\sqrt{6}}{2+\sqrt{6}}}\] \[\huge{\frac{(4+\sqrt{6}(2-\sqrt{6})}{4-6}}\] \[\huge{\frac{8-4\sqrt{6}+2\sqrt{6}-6}{-2}}\] \[\huge{\frac{2-2\sqrt{6}}{-2}}\] \[\huge{\frac{2\sqrt{6}-2}{2}}\] \[\huge{\sqrt{6}-1}\]

OpenStudy (jiteshmeghwal9):

@mathslover u wrote x=? wrong:/

mathslover (mathslover):

i directly simplified that ...

mathslover (mathslover):

x-y and x-3y ...

OpenStudy (jiteshmeghwal9):

how? i think u should get\[5+2\sqrt{6}.\]

mathslover (mathslover):

what is the answer ?

OpenStudy (jiteshmeghwal9):

Ihave given it above

mathslover (mathslover):

oh !!! sorry u r right

OpenStudy (jiteshmeghwal9):

i have*

mathslover (mathslover):

\[\huge{\frac{(4+2\sqrt{6})(2-2\sqrt{6})}{-20}}\] \[\huge{\frac{8-4\sqrt{6}-24}{-20}}\] \[\huge{\frac{-16-4\sqrt{6}}{-20}}\] \[\huge{\frac{4\sqrt{6}+16}{20}}\] \[\huge{\frac{\sqrt{6}+4}{5}}\]

OpenStudy (jiteshmeghwal9):

k! thanx I gt it:)

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