[latex]( \sqrt{5}-3) ^{5} [/latex]

[latex]( \sqrt{5}-3) ^{5} =[/latex] [latex]=25 \sqrt{5}-5*25*3+10*5 \sqrt{5}*9-10*5*27+5 *\sqrt{5}*81-243[/latex][latex]=25 \sqrt{5}- 375+450 \sqrt{5}- 1350+405 \sqrt{5}-243[/latex] [latex]=925 \sqrt{5} - 1968.[/latex]