May 7, 2015 · $\log_2 (3) \approx 1.58496$ as you can easily verify. $ (\log_2 (3))^2 \approx (1.58496)^2 \approx 2.51211$. $2 \log_2 (3) \approx 2 \cdot 1.58496 \approx 3.16992$. $2^ …

Nov 17, 2013 · That's because the $9$ on the right hand side could have come from squaring a $3$ or from squaring a $-3$. So, when you square both sides of an equation, you can get …

Jan 2, 2022 · we can square both side like this: $ x^2= 2$ But I don't understand why that it's okay to square both sides. What I learned is that adding, subtracting, multiplying, or dividing both …

Apr 20, 2016 · I understand that you can't really square on both the sides like I did in the first step, however, if this is not the way to do it, then how can you really solve an equation like this one …

Dec 31, 2025 · Which integers can be written as the sum of two fifth powers minus a perfect square? In particular, does the equation $3 + n^2 = a^5 + b^5$ have a solution with integer …

Sep 28, 2020 · This is certainly true about 'metre square'. You might however think there is a different meaning to 'metre squared' and 'metre square', as perhaps Paul does. I was explicitly …

Mar 10, 2020 · Say we try to find the closest square number to 26. we already know the closest square number is $25$. However, how do I calculate out 25? Because, if I try to prime …

7 Short answer: We can't simply square both sides because that's exactly what we're trying to prove: $$0 < a < b \implies a^2 < b^2$$ More somewhat related details: I think it may be a …

May 26, 2020 · I took a look at square root. Squaring the number means x^2. And if I understood the square root correctly it does a bit inverse of squaring a number and gets back the x. I had …

The theorem that $\binom {n} {k} = \frac {n!} {k! (n-k)!}$ already assumes $0!$ is defined to be $1$. Otherwise this would be restricted to $0 <k < n$. A reason that we do define $0!$ to be …