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 Jun 18 awarded Popular Question Apr 21 comment Prove this inequality $25ab+25a+10b\le38$ +1 for making it simple! Apr 21 comment Prove this inequality $25ab+25a+10b\le38$ Hint: Put $b=\sqrt{1-a^2}$. And substitute $b$ in given expression. Afterwards obtain an equation $f(a)$, and find maxima and minima by using derivative tests. Apr 21 comment Approximation of an expression (no calculator please!) Seriously, one needs great persistence to attempt this one with the first method, I even tried it but dropped it in the mid-way thinking that this would take took long. Anyway thanks! Apr 21 revised Approximation of an expression (no calculator please!) added 2 characters in body Apr 21 comment Approximation of an expression (no calculator please!) @RossMillikan I guess from the phrase "just equal to" they meant that we will be needing a minor approximation. Although answer approximation isn't that much minor. You can freely blame the question. Apr 21 comment Approximation of an expression (no calculator please!) @Paul Thanks! I didn't know that. Apr 21 asked Approximation of an expression (no calculator please!) Apr 16 revised Quotient group(Factor group) mathjax added; Apr 16 suggested approved edit on Quotient group(Factor group) Apr 15 revised Why non-real means only the square root of negative? mathjax added; Apr 15 suggested approved edit on Why non-real means only the square root of negative? Apr 15 awarded Benefactor Apr 15 accepted Why non-real means only the square root of negative? Apr 14 accepted Find remainder when $2^{30}\cdot 3^{20}$ is divided by $7$ without using calculator Apr 14 revised Find remainder when $2^{30}\cdot 3^{20}$ is divided by $7$ without using calculator mathjax added; Apr 14 suggested approved edit on Find remainder when $2^{30}\cdot 3^{20}$ is divided by $7$ without using calculator Apr 13 awarded Promoter Apr 9 revised Analysis of how-many-squares and rectangles are are there on a chess board? mathjax added; Apr 9 suggested approved edit on Analysis of how-many-squares and rectangles are are there on a chess board?