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OpenStudy (jiteshmeghwal9):
Plz help:)
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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):
\[\huge{x=\frac{5+\sqrt{6}}{1}}\]
\[\huge{x=5+\sqrt{6}}\]
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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 ...
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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
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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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