
Proof That √2 Is Not a Rational Number
Can every number be written as a fraction? For a long time, mathematics relied only on natural numbers, integers, and rational numbers. Fractions were enough

Can every number be written as a fraction? For a long time, mathematics relied only on natural numbers, integers, and rational numbers. Fractions were enough

This post is a kind of response to the question:
“I don’t understand something and I need an explanation, why do you simplify ‘n’? I mean that n/n is an indeterminate symbol (infinity over infinity) help because I’m already lost with this.”
Understanding what indeterminate symbols REALLY are can be quite tricky. It also raises many questions about what you “can” and “can’t” do with them.

Today, it’s going to be short. My quick question for you is:
What is the square root of x squared?
When I was still giving tutoring sessions, I asked this question to many high school and college students. Do you know how many knew the correct answer? Two.

This post is already the third in a row where I want to draw your attention to things that are worth reviewing at the very beginning of your mathematics studies at university. A quick review of them will make your life in university much easier.
Today it’s the turn of the quadratic function.
Quadratic function? The topic of the quadratic function is, of course, very broad, and I don’t mean at all that you should take a high school textbook and go through the entire chapter from cover to cover. Let’s just focus on a few important details, nuances, and traps.

Quantifiers – but they weren’t really there…
Alright, but who needs this? In most mathematical definitions and theorems, concepts like “every” and “exists” are used. See how to use them correctly.
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