Question

7 класс по Алгебре....​

Answer 1

Ответ:

$1) (\sqrt{5}- \sqrt{45})^{2}-(\sqrt{13} +\sqrt{11})*( \sqrt{11}- \sqrt{13} )= (\sqrt{5}- \sqrt{45})*(\sqrt{5}- \sqrt{45})-(\sqrt{13} +\sqrt{11})*( \sqrt{11}- \sqrt{13} )= 5-\sqrt{5*45}-\sqrt{5*45}+45-(\sqrt{13*11} -13+11-\sqrt{13*11})=5-\sqrt{225}- \sqrt{225}+45-(\sqrt{143} +13-11-\sqrt{143})=5-15-15+45-\sqrt{143}+13-11+\sqrt{143}=5-15-15+45+13-11=22$

$2)(\sqrt{11} -\sqrt{7})*( \sqrt{7}+ \sqrt{11})-( \sqrt{12} -\sqrt{3})^{2} = (\sqrt{11} -\sqrt{7})*( \sqrt{7}+ \sqrt{11})-( \sqrt{12} -\sqrt{3})*( \sqrt{12} -\sqrt{3})=\sqrt{11*7}+11-7-\sqrt{11*7}-(12-\sqrt{12*3}-\sqrt{12*3}+3)=\sqrt{77}+11-7- \sqrt{77}-(12-\sqrt{36}-\sqrt{36}+3)=\sqrt{77}+11-7- \sqrt{77}-(12-6-6+3) =\sqrt{77}+11-7 -\sqrt{77}-12+6+6-3=11-7-12+12-3=1$