A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
simplify the expression square root of 27 times square root of 2
anonymous
 4 years ago
simplify the expression square root of 27 times square root of 2

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt{27}\times \sqrt{2} \]

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2= sqrt{27*2} = sqrt{54} = sqrt{9*6} = sqrt{9} * sqrt{6} = 3 sqrt{6}

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how did you get 3 square roots of three

jhonyy9
 4 years ago
Best ResponseYou've already chosen the best response.027=9*3 sqrt(9*3)=3sqrt3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so take the perfact square of 9 out of 27 so 9 times 3 =27 then the suare root of 9 is 3 so 3 suare roots of the 3 that cant be simplified right

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2If you use my approach, you wouldn't have to worry about running into 3 sqrt{3}

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok ya i think Hero's way makes a little more sence. thanks though

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so 27 times 2 =54 than take the perfect square root of 9 out so 9 times 6= 54 then simplify so 3 square roots of 6 corect?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so as another example \[\sqrt{10} \times \sqrt{8}\] 10 times 8 is 80 then take 16 out so 16 times 5 = 80 then simplify to 4 square roots of 5 is that how it works?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok but what about \[\sqrt{12} \times \sqrt{18}\] i have a fealing theres an extra step i don't know how to do

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2It's the same strategy...look for the highest square, then split it up into a square root of two numbers, one being a square.

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2If you multiply 12*18 you get 216. 216/6 = 36 so do sqrt{36*6}

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i got 18 times 12 is 216 then 9 times 24 so 3 is from the 9 and the 24 also can go to 4times 6 which is 2 square roots of 6 so would i add 3+ 2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and make it 5square roots of 6

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2Basically, there are two strategies to finding the square. You either divide by multiples of two until you find a square, or you divide by squares until you get a nondecimal integer.

Hero
 4 years ago
Best ResponseYou've already chosen the best response.2Basically, I did this: 216/2 no 216/4 no 216/6 yes Or you can find the nearest square and divide by that like so: 216/196 no 216/169 no ... 216/36 yes It depends on which number you're working with but either way works.
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.