What are some Math Theorems ?

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The Irrationality of the Square Root of 2

Fundamental Theorem of Algebra

The Denumerability of the Rational Numbers

Pythagorean Theorem

Prime Number Theorem

Godel’s Incompleteness Theorem

Law of Quadratic Reciprocity

Have you ever heard of the word 'theorem'? Maybe you've heard of the Pythagorean theorem or the Triangle Sum theorem. The word 'theorem' is quite common in mathematics.

The Impossibility of Trisecting the Angle and Doubling the Cube

As you continue to middle school, and even into high school, you'll learn many new theorems in your math classes.

The Area of a Circle

So what is a theorem? Put simply, a theorem is a math rule that has a proof that goes along with it. In other words, it's a statement that has become a rule because it's been proven to be true.

Euler’s Generalization of Fermat’s Little Theorem

This definition will make more sense as we look over two popular theorems in mathematics. Let's get started!

The Infinitude of Primes

The Pythagorean Theorem
The Pythagorean theorem might be one of the most well known theorems in mathematics.

The Independence of the Parallel Postulate

This theorem explains that if you add together the squares of the two legs of a right triangle, you'll get the square of the hypotenuse.

Polyhedron Formula

Euler’s Summation of 1 + (1/2)^2 + (1/3)^2 + … (the Basel Problem).

The Number of Subsets of a Set

Fundamental Theorem of Integral Calculus

Insolvability of General Higher Degree Equations

Pi is Trancendental