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 2h comment How is this radical transformed? You may get more responses if you ask this in a Physics forum, where someone could recommend a better text for the derivation of the equation. 2h comment How is this radical transformed? If this radical is on the left hand side, then you should do the same to the right hand side and you would be OK. Checking the text you placed a link for, it does not show that it performed the division or the limit on the right hand side, which is a bit strange. 3h comment How is this radical transformed? Divide by $\Delta x^2$ and take the limit as x approaches zero. 3h comment Finding the $1000$-th decimal of $\sqrt{1111…111}$ @zahbaz, exactly my point! 3h comment Finding the $1000$-th decimal of $\sqrt{1111…111}$ Using an unproved rule that I have observed, I would say that the result is (0.33333333...+ the number 3 repated 333 times (as in 33333.....to 333 digits). So the last integer digit would be 3. 4h comment Simplify an Algebraic Expression Could the Binomial theorem help here? 8h comment Find the number of solutions to this equation using combinatorics @JackD'Aurizio, thanks for your explanation and the link. 10h comment Find the number of solutions to this equation using combinatorics 21 can be written in 101 different ways using 5 integers, each positive and <21. This figure can be obtained using "integer partitioning" formula automated in:wolframalpha.com/widgets/… 14h comment Octave - Why $0.6-0.2-0.2-0.2 \neq 0$, but $0.4-0.2-0.2 = 0$? You get the same result with other languages such as JavaScript too. 1d comment Linear Algebra - True or False Questions and their Concepts Hint, begin by an example and see how things work. FYI, $(AB)^{-1}=B^{-1}A^{-1}$, for more details, see for example: math.stackexchange.com/questions/688339/… 1d comment Improper fraction to proper fraction in algebra I guess an easier way is to go building the expression from Right to Left. 1d comment How to multiply radicals? Are you trying to perform the multiplication or solve the equation for b? 1d comment Finding X and Y for given equation One major flaw in the code is that you are using type 'int'. You should used a decimal or float data types. 1d comment if x is very nearly equal to 1 ,show that: $-\frac{(mx^n-nx^m)}{(x^n-x^m)}=\frac{1}{(1-x)}$ Consider using L'Hospital's rule. 1d comment if x is very nearly equal to 1 ,show that: $-\frac{(mx^n-nx^m)}{(x^n-x^m)}=\frac{1}{(1-x)}$ The question is unclear and the link is not leading to useful info. 1d revised if x is very nearly equal to 1 ,show that: $-\frac{(mx^n-nx^m)}{(x^n-x^m)}=\frac{1}{(1-x)}$ LaTex in title 1d comment What is the last number in the sequence? Except for 47, all elements when divided by 6 give an easier one to solve. May be if you have more terms the relationship could be discovered. 1d revised if I know $f(x+1) = 2f(x) + 1$, how do I solve f(x) LaTex 1d comment How to manipulate $8^{k+1}-3^{k+1} = 8(8^k)-3(3^k)$ to become $(8^k-3^k)8+5(3^k)$ The L.H.S of the last step should be (-8+5) instead of (8-3). 1d revised How do I factor this expression:$\frac{1}{64}x^3 - 8y^3 - \frac{3}{16}x^2y - \frac{3}{2}xy^2$ added 46 characters in body; edited tags; edited title