Ask your own question, for FREE!
Mathematics 17 Online
OpenStudy (ksaimouli):

rationalize

OpenStudy (ksaimouli):

|dw:1339438822010:dw|

OpenStudy (ksaimouli):

i got 1.504

OpenStudy (mertsj):

\[\frac{1}{1+\sqrt{3}-\sqrt{5}}\times \frac{(1-\sqrt{3})+\sqrt{5}}{(1-\sqrt{3})+\sqrt{5}}=\frac{1-\sqrt{3}+\sqrt{5}}{-7-\sqrt{15}}\]

OpenStudy (mertsj):

Now multiply numerator and denominator by -7+sqrt15. That will rationalize the denominator.

OpenStudy (ksaimouli):

should the denomenator be 1 becaus eeverything will cancle

OpenStudy (mertsj):

\[\frac{1-\sqrt{3}+\sqrt{5}}{-7-\sqrt{15}}\times \frac{-7+\sqrt{15}}{-7+\sqrt{15}}=\]

OpenStudy (mertsj):

\[\frac{-7+12\sqrt{3}-10\sqrt{5}+\sqrt{15}}{34}\]

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!