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[tex]a) \frac{6+\sqrt{6} }{\sqrt{30}+\sqrt{5} } b) \frac{9-a}{3+\sqrt{a} }[/tex]
[tex]a) \frac{6+\sqrt{6} }{\sqrt{30}+\sqrt{5} } b) \frac{9-a}{3+\sqrt{a} }[/tex]
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а) 6+√6/√30+√5= √6(√6+1)/ √5*(√6+1)=√6/√5=√6*√5/(√5)²=√30/5
б) 9-а/ 3+√а= (3-√а)(3+√а)/(3+√а)= 3-√а
А) ((6+√6)(√30-√5))/((√30+√5)(√30-√5))=(6√30-6√5+6√5-√30)/25=√30/5
Б) ((9-а)(3-√а))/((3+√а)(3-√а))=((9-а)(3-√а))/(9-а)=3-√а