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prove that value of sqrt 100  sqrt 99 lies vetween 1/18 and 1/20
 2 years ago
 2 years ago
prove that value of sqrt 100  sqrt 99 lies vetween 1/18 and 1/20
 2 years ago
 2 years ago

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KingBest ResponseYou've already chosen the best response.1
we can say that sqrt99=3sqrt11=3*3.316=9.948 sqrt100=10 so 109.948=0.052 nw 1/18=0.55555... 1/20=0.5 so 0.052 lies between 0.55555... and 0.5 Thus,Proved!!!!!!
 2 years ago

experimentXBest ResponseYou've already chosen the best response.0
10  sqrt(1001) => 10  10(1  1/100)^1/2 now let's expand (1  1/100)^1/2 using binomial theorem
 2 years ago

KingBest ResponseYou've already chosen the best response.1
Hello guest please sign in or sign up...Thnk u!!:D
 2 years ago

KingBest ResponseYou've already chosen the best response.1
@experimentX u can use binomial theorem but then hw do we know if coolbird143 knows this or not?
 2 years ago

experimentXBest ResponseYou've already chosen the best response.0
(11/100)^1/2 = 1 1/100x1/2(1/100)^2x1/2  ...
 2 years ago

experimentXBest ResponseYou've already chosen the best response.0
well the best way is to use calculator ... :D
 2 years ago

KingBest ResponseYou've already chosen the best response.1
or use ure brains...using calculator is bad....
 2 years ago

experimentXBest ResponseYou've already chosen the best response.0
10  10(1  1/100)^1/2 = 10  10 + 1/2*10/100 + 1/2*1/2*1/2*10/10000 + 1/2*1/2*3/2*1/6*10/1000000 => 1/2*10/100 + 1/2*1/2*1/2*10/10000 + 1/2*1/2*3/2*1/6*10/1000000 ... which is a converging series that lie between 1/18 and 1/20
 2 years ago
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