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You'll need to complete a few actions and gain 15 reputation points before being able to upvote The compendium is very brief and doesn't explain what this means. Upvoting indicates when questions and answers are useful

What's reputation and how do i get it I just came across this annotation in my school's maths compendium Instead, you can save this post to reference later.

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. Q&a for people studying math at any level and professionals in related fields

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. 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 a friend tell me a while ago that log() is also opposite of exponent, wouldn't that mean that square root is like a variant of log () that only inverse a squared number? Is $2025$ the only square number that is form of $\underbrace {20242024\cdots2024}_ {n\text { times}}2025$ This question was never asked in any competiton

If $\underbrace {20242024\cdots2024}_ {n\text { So we can't tell whether you went wrong via an arithmetic error, a fundamental misunderstanding, or something else.

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