query: Express this sum of radicals as an integer?
positive_passages.docid: 27802
positive_passages.text: How to show this equals 1 without "calculations"
negative_passages.docid: 94784
negative_passages.text: $\sum_{k=-m}^{n} \binom{m+k}{r} \binom{n-k}{s} =\binom{m+n+1}{r+s+1}$ using Counting argument
negative_passages.docid: 151757
negative_passages.text: Simplify $\sum_{i=0}^{N/2}{N-i\choose i}$
negative_passages.docid: 115244
negative_passages.text: Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$
negative_passages.docid: 97984
negative_passages.text: Express as sum of powers
negative_passages.docid: 7891
negative_passages.text: Sum of nth roots of unity
negative_passages.docid: 143541
negative_passages.text: Decomposition of an algebraic number into a sum or product of algebraic numbers with smaller degree
negative_passages.docid: 120092
negative_passages.text: Express the complex numbers given in Problem in the form $a+ib$
negative_passages.docid: 138756
negative_passages.text: How to Calculate the Sum of Coefficients in a Polynomial with known Integer Roots
negative_passages.docid: 98440
negative_passages.text: Show that any non-negative rational integer may be written as the sum of two squares if it is of the form....
negative_passages.docid: 19776
negative_passages.text: Simplify a combinatorial sum
negative_passages.docid: 152870
negative_passages.text: Near integers in powers of binomials with radicals
negative_passages.docid: 76370
negative_passages.text: Can any integer can be written as the sum of 8 integer cubes?
negative_passages.docid: 74682
negative_passages.text: How should I solve combination addition like this?
negative_passages.docid: 109640
negative_passages.text: How do i find $(1+i)^{100}?$
negative_passages.docid: 104917
negative_passages.text: Is $\sqrt1+\sqrt2+\dots+\sqrt n$ ever an integer?
negative_passages.docid: 120430
negative_passages.text: A question about how to express a fraction as ${1\over q_1}+{1\over q_2}+ \cdots+{1\over q_N}$