ПОМОГИТЕ!!! СРОЧНО!!! ДАЮ 15 БАЛЛОВ, НЕ СЛОЖНО!!!. Created by andrijnagorny. algebra-ru

ПОМОГИТЕ!!! СРОЧНО!!! ДАЮ 15 БАЛЛОВ, НЕ СЛОЖНО!!!...

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$\displaystyle\tt \bigg(\frac{15}{\sqrt{6}+1}+\frac{4}{\sqrt{6}-2}-\frac{12}{3-\sqrt{6}}\bigg)\cdot(\sqrt{6}+11)=\\\\\\=\bigg(\frac{15(\sqrt{6}-1)}{6-1}+\frac{4(\sqrt{6}+2)}{6-4}-\frac{12(3+\sqrt{6})}{9-6}\bigg)\cdot(\sqrt{6}+11)=\\\\\\=\bigg(\frac{15(\sqrt{6}-1)}{5}+\frac{4(\sqrt{6}+2)}{2}-\frac{12(3+\sqrt{6})}{3}\bigg)\cdot(\sqrt{6}+11)=\\\\\\=(3(\sqrt{6}-1)+2(\sqrt{6}+2)-4(3+\sqrt{6}))\cdot(\sqrt{6}+11)=\\\\\\=(3\sqrt{6}-3+2\sqrt{6}+4-12-4\sqrt{6})\cdot(\sqrt{6}+11)=$

$\tt =(\sqrt{6}-11)\cdot(\sqrt{6}+11)=6-121=-115$

3 votes Thanks 2

oganesbagoyan

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task/29406220 ----------------------

1.20 . ( (15 / (√6 +1) +4 / (√6 -2) - 12 / (3 -√6) ) *(√6+11 ) = ( (3(√6 -1) +2(√6+2) - 4( 3 +√6 ) ) *(√6+11 )= (3√6 -3 +2√6 +4 -12- 4√6)*(√6+11 ) = (√6 -11)*(√6+11 ) =(√6)² -11² =6 -121 = - 115 .

Удачи !

1 votes Thanks 1

oganesbagoyan я уже решил в task/29406220

akkiuiuii такое решение, прям понятное с первого взгляда

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