Ask
your own question, for FREE!

Mathematics
28 Online

OpenStudy (anonymous):

rationalize the denominator sqrt 6/sqrt 3 + sqrt 5

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (anonymous):

is sqrt 3 + sqrt 5 the denominator?

OpenStudy (anonymous):

yes

OpenStudy (nikita2):

you should multiple up and down on sqrt 3 - sqrt 5, and use formula (a-b)(a+b) = a^2-b^2

OpenStudy (nikita2):

So you will have (sqrt 6)(sqrt 3 - sqrt 5)/(3 - 5)

OpenStudy (anonymous):

we do what is called multiplying by the conjugate the conjugate of a+b is a-b. this is especially useful for imaginary numbers. in your case, as nikita pointed out, \[\frac{\sqrt{6}}{\sqrt{3}+\sqrt{5}} = \frac{\sqrt{6} \times (\sqrt{3}-\sqrt{5})}{(\sqrt{3}+\sqrt{5})\times (\sqrt{3}-\sqrt{5})} = \frac{\sqrt{6} \times (\sqrt{3}-\sqrt{5})}{3-5}\]

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (anonymous):

ok thanks you guys are great

OpenStudy (anonymous):

you are welcome

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!

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

Latest Questions

Cloud4444:
Heu2019s not talking to me BUT also not blocking me, Whatu2019s the verdict peopl

6 hours ago
63 Replies
2 Medals

Bounty:
so its just you and me in this so called reality man I'm broken cant even show em

5 hours ago
13 Replies
5 Medals

Breathless:
Do I have a problem if I can't. Feel the spark? or like. the thing that makes me happy? what if like smth is makes me happy but doesn't stay like that?.

4 hours ago
23 Replies
3 Medals

Bluehorizon19:
Pain has been around for awhile, Always held within a file. peace never existed nor felt real, When they gave you hate you could never heal.

9 hours ago
7 Replies
4 Medals

DeathSinger:
For him. u2764 Lost, Thats what they called me That's who I was until you found me, you pulled me out when I was drowning and now my life will never ever be

10 hours ago
30 Replies
1 Medal

Astrid1:
Just wanna post some vids of the stuffies practicing for the air showww ( maybe I

12 hours ago
4 Replies
1 Medal