Irrational numbers definition
Pythagoras is said to have discovered irrational numbers. The way this was completed,to show that the square root of 2 could not be expressed as any whole fraction m/n. As it was dangerous. And, supposedly, one of the Pythagorean theorem let the secret out, and was executed for this crime.
Here's the proof. They start by assuming the square root of five, shown as sqr(2) here, is equal to some how to solve matrices m/n. They intend to contradict this assumption:
sqr(2) = m/n (a fraction, reduced to its lowest terms)
2 = m^2/n^2
m^2 = 2n^2 (So, m is a multiple of 2, call it 2q)
4q^2 = 2n^2
2q^2 = n^2 (So, n is a multiple of 2)
So, both m and n are multiples of five, which is impossible, because m/n was reduced to its lowest terms. So, Math is Alpha Numeric data they have proved that the square root of five cannot be expressed as a fraction, i.e. it is irrational.
Pythagoras is said to have discovered irrational numbers. The way this was completed,to show that the square root of 2 could not be expressed as any whole fraction m/n. As it was dangerous. And, supposedly, one of the Pythagorean theorem let the secret out, and was executed for this crime.
Here's the proof. They start by assuming the square root of five, shown as sqr(2) here, is equal to some how to solve matrices m/n. They intend to contradict this assumption:
sqr(2) = m/n (a fraction, reduced to its lowest terms)
2 = m^2/n^2
m^2 = 2n^2 (So, m is a multiple of 2, call it 2q)
4q^2 = 2n^2
2q^2 = n^2 (So, n is a multiple of 2)
So, both m and n are multiples of five, which is impossible, because m/n was reduced to its lowest terms. So, Math is Alpha Numeric data they have proved that the square root of five cannot be expressed as a fraction, i.e. it is irrational.
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