A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Step by step instruction?
anonymous
 one year ago
Step by step instruction?

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ \sqrt{6} }{ \sqrt{5}\sqrt{3} }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Rationalize the denominator and simplify.

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1the conjugate of the denominator is sqrt(5)+sqrt(3) (change the sign in the middle) \[\frac{ \sqrt{6} }{ \sqrt{5}\sqrt{3}} * \frac{ \sqrt{5}+\sqrt{3} }{ \sqrt{5}+\sqrt{3}} \]

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1multiply all of that out and simplify. there should be no radicals left in the denominator when you're done

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok well I think I'm left with \[\frac{ \sqrt{30}+\sqrt{18} }{ 2 }\] but I'm not sure if I did the math right.

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1actually, yeah, that's right

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1just know that you can simplify \[\sqrt{18} = 3\sqrt{2}\]

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1but other than that you've got the answer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok I'm not really sure how to simplify \[\sqrt{18}\] to get \[3\sqrt{2}\] is there a process to get there?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1\[\sqrt{18}=\sqrt{9*2}=\sqrt{3*3*2}=3\sqrt{2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So how would I do that to the \[\sqrt{30}\] or can't I? would it look like this: \[\sqrt{5*3*2}\]

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1you can't, the square root of 30 is already simplified

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1we can simplify the square root of 18 because it contains a perfect square (9) as a factor you can write square root of 30, no need to do anything else to it

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1so your final answer would be \[\frac{ \sqrt{30}3\sqrt{2} }{ 2 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok yeah I think I get it thank you.

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1*small correction, there should be a plus sign in the numerator
Ask your own question
Sign UpFind more explanations on OpenStudy
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.