What was the Pythagorean crisis? The destruction of Samos by the Romans The discovery of irrational numbers The discovery that there are infinitely many prime numbers The discovery of a number that was neither prime nor composite The death of Pythagoras
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Step 1: The Pythagorean crisis was a philosophical and mathematical crisis that arose in ancient Greece when mathematicians discovered that the square root of 2 is irrational. Show more…
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The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse by the formula a^2 + b^2 = c^2. If a is a rational number and b is a rational number, why could c be an irrational number? The square of rational numbers is irrational, and sum of two irrational numbers is irrational. The product of two rational numbers is rational, and the sum of two rational numbers is irrational. The left side of the equation will result in a rational number, which is a perfect square. The left side of the equation will result in a rational number, which could be a non-perfect square.
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