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You'll need to complete a few actions and gain 15 reputation points before being able to upvote Sum of square roots inequality ask question asked 4 years, 9 months ago modified 4 years, 9 months ago Upvoting indicates when questions and answers are useful

What's reputation and how do i get it That is, a $6\times6$ square can be broken into 6 smaller squares? Instead, you can save this post to reference later.

So, when you square both sides of an equation, you can get extraneous answers because you are losing the negative sign

That is, you don't know which one of the two square roots of the right hand side was there before you squared it. Q&a for people studying math at any level and professionals in related fields 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 sides by the same thing is okay But how come squaring both. What is the appropriate parametric equation of the boundary of a square For example, the unit circle has a parametric equation $x(t)=\\cos(t)$ and $y(t)=\\sin(t)$.

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 common misconception that simply squaring both sides of an inequality is ok because we can do it indiscriminately with equalities. To clarify, you mean that a square of dimensions $n\times n$ can be divided into $n$ smaller squares

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