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Rasionalkan

Rasionalkan begin mathsize 14px style 4 minus fraction numerator 1 over denominator 2 square root of 2 end fraction end style 

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Diperhatikan bahwa

begin mathsize 14px style 4 minus fraction numerator 1 over denominator 2 square root of 2 end fraction equals fraction numerator 8 square root of 2 minus 1 over denominator 2 square root of 2 end fraction end style

Selanjutnya bentuk begin mathsize 14px style fraction numerator 8 square root of 2 minus 1 over denominator 2 square root of 2 end fraction end style dapat dirasionalkan dengan mengalikan pembilang dan penyebut dengan sekawan dari begin mathsize 14px style 2 square root of 2 end style, yaitu begin mathsize 14px style square root of 2 end style. Sehingga diperoleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 8 square root of 2 minus 1 over denominator 2 square root of 2 end fraction end cell equals cell fraction numerator 8 square root of 2 minus 1 over denominator 2 square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator open parentheses 8 square root of 2 minus 1 close parentheses times square root of 2 over denominator 2 times open parentheses square root of 2 close parentheses squared end fraction end cell row blank equals cell fraction numerator 16 minus square root of 2 over denominator 4 end fraction end cell row blank equals cell 4 minus fraction numerator square root of 2 over denominator 4 end fraction end cell end table end style 


Jadi, bentuk rasional dari begin mathsize 14px style 4 minus fraction numerator 1 over denominator 2 square root of 2 end fraction end style adalah begin mathsize 14px style 4 minus fraction numerator square root of 2 over denominator 4 end fraction end style.

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