Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

PhoenixFire Group TitleBest ResponseYou've already chosen the best response.1
What do you want done?
 2 years ago

CoffeeEyes Group TitleBest ResponseYou've already chosen the best response.0
I need to rationalize the denominator. I have no idea what the steps are. I read my text book, but I'm so confused.
 2 years ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.0
Is it \[\frac{4}{5+\sqrt{2}}\]
 2 years ago

PhoenixFire Group TitleBest ResponseYou've already chosen the best response.1
\[4 \over {5+\sqrt{2}}\] so you multiply both the numerator and denominator by the conjugate of the denominator. \[5+\sqrt{2}\] conjugate is \[5  \sqrt{2}\] so you get \[(5+\sqrt{2})(5\sqrt{2})\] and as you know \[(a+b)((ab)=a^2b^2\] So the denominator becomes \[5^2(\sqrt{2})^2=252=23\] Leaving you with \[{{4(5\sqrt{2})} \over 23}={{204 \sqrt{2}} \over 23}\]
 2 years ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.0
@op Please do a little better with your notation if this is correct. If you mean the expression that has been the target of this worked exercise, you have not written wat you intended. 4 / 5 + sqrt(2) = \[\frac{4}{5}+\sqrt{2}\] 4 / (5 + sqrt(2)) = \[\frac{4}{5+\sqrt{2}}\] Always remember your Order of Operations. Use parentheses to clarify meaning.
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.