October 19th, 2016, 09:29 PM  #1 
Newbie Joined: Oct 2016 From: Minna Posts: 8 Thanks: 0  Maths Irrational
Express 148√60÷6√2010√12 in the form a√b+6√3; where a & b are irrational numbers.

October 19th, 2016, 09:59 PM  #2  
Senior Member Joined: Sep 2015 From: CA Posts: 1,091 Thanks: 570  Quote:
$\dfrac{148\sqrt{60}}{6\sqrt{20}10\sqrt{12}}\dfrac{6\sqrt{20}+10\sqrt{12}}{6\sqrt{ 20}+10\sqrt{12}} =$ $\dfrac{(148\sqrt{60})(6\sqrt{20}+10\sqrt{12})}{36\cdot 20  100\cdot 12}=$ $\dfrac{(1416\sqrt{15})(12\sqrt{5}+20\sqrt{3})}{480}=$ $\dfrac{8}{480}(78\sqrt{15})(3\sqrt{5}+5\sqrt{3}) =$ $\dfrac{1}{60}(21\sqrt{5}24\sqrt{75}+35\sqrt{3}40\sqrt{45})=$ $\dfrac{1}{60}(21\sqrt{5}120\sqrt{3}+35\sqrt{3}120\sqrt{5}) =$ $\dfrac{1}{60}(99\sqrt{5}85\sqrt{3}) = \dfrac{99}{60}\sqrt{5} + \dfrac{85}{60}\sqrt{3} = $ $\dfrac{33}{20}\sqrt{5}+\dfrac{17}{12}\sqrt{3}$  
October 20th, 2016, 06:59 AM  #3 
Newbie Joined: Oct 2016 From: Minna Posts: 8 Thanks: 0 
Thanks romsek, am most grateful!

October 20th, 2016, 12:25 PM  #4  
Banned Camp Joined: Jun 2014 From: Earth Posts: 945 Thanks: 191  Quote:
You were shown a similar model problem at least one time before that you could have started your work. And, romsek, you shouldn't have given a complete solution only three hours later without the user showing any work.  
November 4th, 2016, 05:28 PM  #5  
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,429 Thanks: 869 Math Focus: Elementary mathematics and beyond  Quote:
As the OP did not post back asking for help and/or clarification, I don't think it's unreasonable to assume that they understood what has been posted. Text books provide worked examples; why can't we? MMBt, it is not your place to tell other users what they should and should not post. You are not an admin. Last edited by skipjack; November 5th, 2016 at 01:30 PM.  
November 4th, 2016, 05:58 PM  #6 
Senior Member Joined: Feb 2016 From: Australia Posts: 961 Thanks: 340 Math Focus: Yet to find out.  What in the world lol. The amount of threads that have been answered without OP providing any working is large. And yet you randomly choose this one? Please, the trolling needs to stop. New users get so put off by this sort of thing.

November 4th, 2016, 06:59 PM  #7 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,165 Thanks: 111  Back then I also liked to provide a full solution if I could. However, I didn't intend to help the posters. The posters I seek at that time were the ones who desperately looked for answers without showing any works and had some deadlines. I just wanted to test my math skills and their procrastination was the perfect sacrifice for it. 
November 5th, 2016, 01:07 AM  #8 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,550 Thanks: 595 Math Focus: Wibbly wobbly timeywimey stuff. 
Getting back to the matter at hand... Is there any a priori reason that says that pi should be irrational? Is there something in Mathematics that would cause it to be so? Dan 
November 5th, 2016, 05:20 AM  #9 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,539 Thanks: 2144 Math Focus: Mainly analysis and algebra 
Well, all the Proofs that $\pi$ is irrational are purely deductive, aren't they? It's an odd question. Perhaps I have misunderstood your usage of "a priori", although I did look it up to check the meaning. 
November 5th, 2016, 05:20 AM  #10 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,539 Thanks: 2144 Math Focus: Mainly analysis and algebra 
Well, all the Proofs that $\pi$ is irrational are purely deductive, aren't they? It's an odd question. Perhaps I have misunderstood your usage of "a priori", although I did look it up to check the meaning. 

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