Question

20 БАЛЛОВ СРОЧНО !!!​

Answer 1

$a=2003\\\\(1+\sqrt{a})(1+\sqrt[4]{a})(1+\sqrt[8]{a})(1+\sqrt[16]{a})(1+\sqrt[32]{a})(1-\sqrt[32]{a})=\\\\=(1+\sqrt{a})(1+\sqrt[4]{a})(1+\sqrt[8]{a})(1+\sqrt[16]{a})(1-\sqrt[16]{a})=\\\\=(1+\sqrt{a})(1+\sqrt[4]{a})(1+\sqrt[8]{a})(1-\sqrt[8]{a})=\\\\=(1+\sqrt{a})(1+\sqrt[4]{a})(1-\sqrt[4]{a})=\\\\=(1+\sqrt{a})(1-\sqrt{a})=\\\\=1-a=1-2003=-2002\\\\\\P.S.\ \ (1-x)(1+x)=1-x^2$