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3.806 squared

 Sep 22, 2016
 #1
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Im assuming without a calculator;

well - lets turn 3.8062

into (x+0.806)2 where x=3

now we expand x2+2(0.806)+(0.806)2

0.806×0.806 is much easier to do than 3.806^2

0.806×0.806=

2((0.806 * 0.400)+(0.806 * 0.003))

2((0.32+0.0024)+(0.002418))

2(0.3224+0.002418)

2(0.324818)

0.649636

x2+2(0.806)+0.649636

sub x=3

(3)2+2(0.806)+0.649636

9+1.612+0.649636

11.261636

ta dah!

 Sep 22, 2016

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