Square root of 6 is irrational algebraic number. First 60 decimal digits are approximately 2.45. Approximation 218/89 (≈ 2.449438...) is nearly ten times better. NASA has published over a million decimal digits
Irrational numbers cannot be expressed as simple fractions. They are represented as R\Q or R-Q. Addition of irrational numbers with rational numbers results in irrational numbers. Multiplication of irrational numbers with nonzero rational numbers produces irrational results. LCM of any two irrational numbers may or may not exist
Natural logarithm of 2 has value 1 (OEIS A002162). Irrationality measure is less than 3.8913998. It's not known if it's normal
Euler Number (e) is a mathematical constant named after Leonhard Euler. It is one of the most important constants alongside 0, 1, π and i. It is an irrational number with infinite decimals
Logarithms were introduced in 17th century to speed up calculations. They remained essential until mechanical calculators and computers. Natural logarithm (ln n) remains useful in physical and biological models
Square root of 3 is a positive real number that equals 3 when multiplied by itself. It is an irrational number with a decimal value of 1.7320508075688772935274463415058. Square root of 3 is denoted as √3 or 31/2