What is the 1000th digit to the right of the decimal point in the decimal representation of (1+√2)^3000?
This problem can be solved by algebra alone, without the need for computers or calculators
If I subtract a number LESS than 10^-
1 from an integer, how does the fractional part of the result start? ANSWER: .9... -- the
first digit is a 9.
If I subtract a number LESS than 10^-
2 from an integer, how does the fractional part of the result start? ANSWER: .99... -- the
second digit is a 9.
If I subtract a number LESS than 10^-
3 from an integer, how does the fractional part of the result start? ANSWER: .999... -- the
third digit is a 9.
Do you need 997 more lines to explain the solution to this problem?
Edited on April 29, 2005, 4:09 pm