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Lösung 3.1:2e

Aus Online Mathematik Brückenkurs 1

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Version vom 14:19, 22. Okt. 2008

Looking first at 18  this square root expression can be simplified by writing 18 as a product of its smallest possible integer factors

18=29=233=232

and then we can take the quadratic out of the square root sign by using the rule a2b=ab  (valid for non-negative a and b),

18=232=32. 

In the same way, we write 8=24=222=23 and get

8=222=22. 

All together, we get

188=3222=3222=322=12.
Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_3.1:2e“