Prove that: √10+√24+√40+√60=√2+√3+√5
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arberiii
04.03.2013 21:16
To easy just add in square and win 10+√24+√40+√60=10+√24+√40+√60
sqing
05.07.2013 03:28
http://www.artofproblemsolving.com/Forum/viewtopic.php?f=151&t=511127&hilit=Equation
Rijadinho
14.05.2023 11:49
Squaring both sides of the equation we get: 10+√24+√40+√60=(√2+√3+√5)2 ⇒10+2√6+2√10+2√15=2+3+5+2(√6+√15+√10) ⇒10+2√6+2√10+2√15=10+2√6+2√15+2√10 ◼
Seungjun_Lee
14.05.2023 11:53
dangerousliri wrote: Prove that: √10+√24+√40+√60=√2+√3+√5 Let √2=x,√3=y,√5=z LHS=√x2+y2+z2+2xy+2yz+2zx=x+y+z=RHS