Автор - jeedkinds

Помогите решить примеры по дз хотябы один из них
1. frac{9}{7-4sqrt{3} }


3.frac{b-3}{b-2sqrt{3b}+3 }

4.frac{132a}{sqrt{11} }

Ответ

Автор - Universalka

1)frac{9}{7-4sqrt{3}}=frac{9*(7+4sqrt{3})}{(7-4sqrt{3})(7+4sqrt{3})}=frac{9*(7+4sqrt{3})}{7^{2}-(4sqrt{3})^{2}}=frac{9(7+4sqrt{3})}{49-48}=9(7+4sqrt{3})

3)frac{b-3}{b-2sqrt{3b} +3}=frac{(sqrt{b})^{2}-(sqrt{3})^{2}}{(sqrt{b})^{2}-2sqrt{b}*sqrt{3}+(sqrt{3})^{2}} =frac{(sqrt{b}-sqrt{3})(sqrt{b}+sqrt{3})}{(sqrt{b}-sqrt{3})^{2}} =frac{sqrt{b}+sqrt{3}}{sqrt{b}-sqrt{3}} =frac{(sqrt{b}+sqrt{3})*(sqrt{b}+sqrt{3})}{(sqrt{b}-sqrt{3})*(sqrt{b}+sqrt{3})} =frac{(sqrt{b}+)sqrt{3})^{2} }{b-3}

4)frac{132a}{sqrt{11}}=frac{132a*sqrt{11}}{sqrt{11}*sqrt{11}}=frac{132a*sqrt{11}}{(sqrt{11})^{2}}=frac{132a*sqrt{11}}{11}=12sqrt{11}a

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