cherryblossom Posted January 19, 2011 Share Posted January 19, 2011 My dd and I have worked and reworked this problem and can't seem to get the answer in the solutions manual. Can someone PLEASE help? It deals with simplifying radicals and I will use these symbols ^/ to mean square root. Ok, here is the problem: 3^/2(2^/2 - ^/6) . 4^/3 + 2 To interpret just in case the symbols are confusing: 3 square roots of 2 (2 square roots of 2 - square root of 6) times 4 square roots of 3 + 2 :confused: Quote Link to comment Share on other sites More sharing options...

hoosiermom Posted January 19, 2011 Share Posted January 19, 2011 I'm assuming the last quantity is (4 square root 3) + 2 and not 4 square root (3 + 2). If my assumption is correct, I get 36 square root 3 - 48 for the answer. I first distributed 3 square root 2 thru first quantity and got 12 - 6 square root 3. Then (12 - 6 square root 3) times (4 square root 3 + 2) gives me (48 square root 3) + (24) - (24 x 3) - (12 square root 3) = (48 square root 3) - (12 square root 3) + (24) - (72) = 36 square root 3 - 48 Quote Link to comment Share on other sites More sharing options...

Mama Geek Posted January 19, 2011 Share Posted January 19, 2011 (edited) I am using excel terminology because my brain will think that way, so your problem is written like this: 3*sqrt(2)*(2*sqrt(2)-sqrt(6))*4*sqrt(3)+2 The sqrt(6) = sqrt(3)*sqrt(2) so substitute that in 3*sqrt(2)*(2*sqrt(2)-sqrt(3)*sqrt(2))*4*sqrt(3)+2 (3*2*sqrt(2)^2-3*sqrt(2)^2*sqrt(3))*4*sqrt(3)+2 (3*2*2-3*2*sqrt(3))*4*sqrt(3)+2 (12-6*sqrt(3))*4*sqrt(3)+2 (12*4*sqrt(3)-6*4*sqrt(3)^2)+2 (48*sqrt(3)-6*4*3)+2 (48*sqrt(3)-72)+2 48*sqrt(3)-70 I double checked it on a spreadsheet, so this should be what you are looking for. ETA the difference between my solution and hoosiermoms is the interpretation of where the +2 fits into the equation. Hope one of these two solutions help. Edited January 19, 2011 by Mama Geek Quote Link to comment Share on other sites More sharing options...

Belacqua Posted January 19, 2011 Share Posted January 19, 2011 Cherryblossom, are you familiar with Wolfram Alpha? It has come to my rescue countless times. It's also just fun to play with. :001_smile: Quote Link to comment Share on other sites More sharing options...

## Recommended Posts

## Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.