Question

Сократить дробь:
$a) frac{6+sqrt{6} }{sqrt{30}+sqrt{5} } b) frac{9-a}{3+sqrt{a} }$

Answer 1

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

Answer 2

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