this question can be solved by the help of differential calculus!
now let us consider the nearest perfect square which is 32^2=1024
let f(x)=sqrtx
here x= 1024
therefore for any deviation delta(x), we have
f(x+delta(x)) = f(x)+f'(x)*delta(x)
delta(x)=-24 and f'(x)=derivative of f(x) where x=1024
therefore, f(x)=sqrt(1024) - 24*(1/64)
sqrt(1000)=32 - 3/8=32-0.375=31.625
therefore the sqrt of 1000 is appr equal to 31.625
this is however not the exact answer as u dont get accurate answers in differential calculus. however u don't use a calculator for the purpose!!!!!
2006-06-26 23:05:59
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answer #1
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answered by klk 2
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Get calulator out - Input 1 0 0 0 - hit square root key.
or...
Enter square root 1000 in Google
or...
read your math book.
2006-06-26 22:55:26
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answer #2
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answered by Tom D 3
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(1000)^1/2
= 10 * (10)^1/2
furter solve it .
2006-06-26 23:21:37
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answer #3
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answered by Anonymous
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question a million) ... 2^(x) + 4^(x) = 2^(x+a million) - 4^(x+a million) or 2^(x) + 2^(2x) = 2 * 2^(x) - 4 * 2^(2x) or 5 * 2^(2x) = 2^(x) or ln(5) + 2x ln(2) = x ln(2) or (2x - a million) ln(2) = - ln(5) or x = (a million/2) (a million - ln(5)/ln(2) ) or x ~ -0.661 question 2) ... ln(x) = 2 - 3ln(x) or 4ln(x) = 2 or ln(x) = a million/2 or x = e^(a million/2) or x ~ a million.649 question 3) ... 2log3(9x) = log3(x+8) + 2 or log3( (9x)^2 ) = log3(x+8) + log3( 3^2 ) or log3( (9x)^2 ) = log3( 9(x+8) ) or 81x^2 = 9x + seventy 2 or 9x^2 - x - 8 = 0 or (x - a million)(9x + 8) = 0 or x = -8/9 ? forget approximately approximately, there is not any such factor as log3(-8) or x = a million ? very very final answer
2016-12-08 13:02:42
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answer #4
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answered by holtslander 3
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the square root of 1000 is 31.6227766
2006-06-26 22:57:15
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answer #5
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answered by sugar and spice 2
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Why do it with the whole procedure when you can do it with a calculator or a computer?
2006-06-26 22:56:06
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answer #6
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answered by kaykay 2
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see sqrt 1000 = sqrt 10 * 100 = 10 sqrt 10 = 10 * 3.16 = 31.6
2006-06-26 23:19:16
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answer #7
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answered by Anonymous
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solution:
.......x= 1000^1/2
......logx = 1/2log1000
then look into the log book
log1000=3
.....1/2x3
......x = antilog(1.5)
then look into the log book antilog side
antilog(1.5)= 31.622777
hence the square root of 1000 is 31.622777.
2006-06-26 23:00:57
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answer #8
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answered by Anonymous
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r = 1000^1/2
logr = 1/2log1000
1/2x3
r = antilog(1.5)
31.622777
2006-06-26 22:56:48
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answer #9
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answered by cool 1
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No doing procedure..the answer is 31.6227766...u solve the rest of it...
2006-06-26 22:55:30
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answer #10
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answered by Deep 4
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