Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #3 20060406 17:18:53
Re: √ (10+2√5)=??Software? "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #5 20060406 20:28:21
Re: √ (10+2√5)=??...≈3.80423 IPBLE: Increasing Performance By Lowering Expectations. #6 20060406 20:30:03
Re: √ (10+2√5)=??But there's another thing: IPBLE: Increasing Performance By Lowering Expectations. #7 20060406 21:11:17
Re: √ (10+2√5)=??eazy, if a is a rational, it can be presented as N/M , where N and M are both integers. Last edited by George,Y (20060406 21:14:54) X'(yXβ)=0 #9 20060406 21:33:18
Re: √ (10+2√5)=??If a = p/q, then: where p,q elem N. But √5 is irrational, and the right side of the equation is rational, so there don't exist (p,q) elem N: p/q=a, so a is irrational. IPBLE: Increasing Performance By Lowering Expectations. #10 20060406 21:40:12
Re: √ (10+2√5)=??Sorry for my late post, George. But d ∈ N => exists k ∈ N : k^c=d. But then . Particularry, this means that if an integer n is not a square, then √n is irrational. Last edited by krassi_holmz (20060406 22:31:35) IPBLE: Increasing Performance By Lowering Expectations. #12 20060407 18:23:34
Re: √ (10+2√5)=??agree. IPBLE: Increasing Performance By Lowering Expectations. 