Nombres reals i equacions: Més exemples racionalització

Racionalitzar:

$fraction numerator 4 over denominator square root of 3 plus 2 square root of 2 end fraction equals fraction numerator 4 over denominator square root of 3 plus 2 square root of 2 end fraction times fraction numerator square root of 3 minus 2 square root of 2 over denominator square root of 3 minus 2 square root of 2 end fraction equals fraction numerator 4 times open parentheses square root of 3 minus 2 square root of 2 close parentheses over denominator left parenthesis square root of 3 plus 2 square root of 2 right parenthesis times open parentheses square root of 3 minus 2 square root of 2 close parentheses end fraction equals fraction numerator 4 times square root of 3 minus 4 times 2 square root of 2 over denominator square root of 3 squared minus square root of 3 square root of 2 plus square root of 3 square root of 2 minus open parentheses 2 square root of 2 close parentheses squared end fraction equals space equals fraction numerator 4 square root of 3 minus 8 square root of 2 over denominator 3 up diagonal strike negative square root of 6 end strike plus up diagonal strike square root of 6 end strike minus 4 times 2 end fraction equals fraction numerator 4 square root of 3 minus 8 square root of 2 over denominator 3 minus 8 end fraction equals fraction numerator 4 square root of 3 minus 8 square root of 2 over denominator negative 5 end fraction equals fraction numerator 8 square root of 2 minus 4 square root of 3 over denominator 5 end fraction$

Per racionalitzar hem multiplicat numerador i denominador per l'expressió conjugada del denominador

Propietat intel·lectual i drets d'autoria