A community for students.
Here's the question you clicked on:
 0 viewing
aubreyrve
 11 months ago
MEDALS FOR BEST RESPONSE!!!!! can someone simplify this step by step because I don't understand it 4sqrt(6) over sqrt(30)
aubreyrve
 11 months ago
MEDALS FOR BEST RESPONSE!!!!! can someone simplify this step by step because I don't understand it 4sqrt(6) over sqrt(30)

This Question is Closed

YanaSidlinskiy
 11 months ago
Best ResponseYou've already chosen the best response.1@johnweldon1993 ? This guy is smart!!!:)

johnweldon1993
 11 months ago
Best ResponseYou've already chosen the best response.2Lol well thank you @YanaSidlinskiy :) \[\large \frac{4\sqrt{6}}{\sqrt{30}}\] Can be seen as \[\large 4 \times \sqrt{\frac{6}{30}}\] Does that help at all?

johnweldon1993
 11 months ago
Best ResponseYou've already chosen the best response.2Because remember \[\large \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\]

aubreyrve
 11 months ago
Best ResponseYou've already chosen the best response.0No, I still don't understand that sorry can you brake it down or something? @johnweldon1993

YanaSidlinskiy
 11 months ago
Best ResponseYou've already chosen the best response.1Your Welcome:)

johnweldon1993
 11 months ago
Best ResponseYou've already chosen the best response.2Yeah sure... \[\large \frac{4\sqrt{6}}{\sqrt{30}}\] Alright....we can just ignore that 4 for now...why? because it is just multiplying whatever we get as a result... so we can do that later :) So all we have is \[\large 4 \times \frac{\sqrt{6}}{\sqrt{30}}\] It IS important to remember rules such as \[\large \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\] so that means we can turn \[\large \frac{\sqrt{6}}{\sqrt{30}} \large {\rightarrow} \sqrt{\frac{6}{30}}\] alright?

johnweldon1993
 11 months ago
Best ResponseYou've already chosen the best response.2The next step would be...simplify what is inside the radical... *hint...looks like each number is divisible by 6*

johnweldon1993
 11 months ago
Best ResponseYou've already chosen the best response.2Alright well since I see you have left..I'll just keep going here to help out anyone who might need it... so we now have \[\large 4 \times \sqrt{\frac{6}{30}}\] Lets simplify that radical....both numbers are divisible by 6.... What is 6 divided by 6? 1 what is 30 divided by 6? 5 So now we have \[\large 4 \times \sqrt{\frac{1}{5}}\] Remember that little rule we wrote above? \[\large \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\] This means we can work backwards this time...and write \[\large \sqrt{\frac{1}{5}} \rightarrow \frac{\sqrt{1}}{\sqrt{5}}\] So NOW we have \[\large 4 \times \frac{\sqrt{1}}{\sqrt{5}}\] Just 1 little simplification here...what is the square root of 1? Just 1 ...so we have \[\large 4 \times \frac{1}{\sqrt{5}}\] And finally we multiply that by 4...to get \[\large \frac{4}{\sqrt{5}}\]

YanaSidlinskiy
 11 months ago
Best ResponseYou've already chosen the best response.1Told you!!! He's smart!!

aubreyrve
 11 months ago
Best ResponseYou've already chosen the best response.0ok, thank you I understand @johnweldon1993
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.