Icycarus

### Questions (22)

 16 How do I prove this combinatorial identity 12 Prove that the square root of a positive integer is either an integer or irrational 4 Angles in a spherical triangle. 4 Prove that if $\frac {10^n-1}{9} | \frac {10^m-1}{9}$, then $n|m$ 3 Group actions and orbits

### Reputation (572)

 +25 Prove that the square root of a positive integer is either an integer or irrational +80 How do I prove this combinatorial identity +5 Isomorphism on spanned lattice +5 Group actions and orbits

### Answers (17)

 6 Solve truth table task 3 PIE : Arrange the letters FAMILY 2 Prove that $a\mid c$; given that $a\mid bc$ and $\gcd(a,b) = 1$. 1 Difference between $\frac {\sum_{i=1}^n (Y_i - \bar{Y})^{2}}{n}$ and $\frac {\sum_{i=1}^n (Y_i - \bar{Y})^{2}}{n-1}$ 1 Prove the solutions to the equation $z^n=1$.

### Tags (58)

 6 permutations × 6 2 elementary-number-theory × 3 6 discrete-mathematics × 3 2 divisibility × 2 6 logic 1 number-theory × 3 6 propositional-calculus 1 complex-analysis × 2 5 combinatorics × 10 1 complex-numbers × 2

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