The Twins of ...(1+Sq2)^501...

來源: 於 2011-01-04 18:54:03 [舊帖] [給我悄悄話] 本文已被閱讀：次

1. What is the 99th digit to the right of the decimal point in the decimal expansion of (1+√2) to the power 501? (Calculator not required.) (In case this isn't displayed correctly by your browser, the expression is (1+sqrt(2))^501, where sqrt(2) means the positive square root of 2.