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Solution 1.1:6d

From Förberedande kurs i matematik 1

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In the text, 2  is given to 30 decimal places,


2=1414 213 562 373 095 048 801 688 724 210  

and from this decimal expansion, we see that √2 to three decimal places is


2=1414 


because the fourth decimal is 2 and is therefore rounded down.