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coolbird143
 3 years ago
prove that value of sqrt 100  sqrt 99 lies vetween 1/18 and 1/20
coolbird143
 3 years ago
prove that value of sqrt 100  sqrt 99 lies vetween 1/18 and 1/20

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King
 3 years ago
Best ResponseYou've already chosen the best response.1we 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!!!!!!

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.010  sqrt(1001) => 10  10(1  1/100)^1/2 now let's expand (1  1/100)^1/2 using binomial theorem

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

King
 3 years ago
Best 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?

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

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

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

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.010  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
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