# list of irrational numbers

List of irrational numbers:

 Irrational Number Decimal Approximation Property Category √2 1.4142135623730950488016887242097… The square root of 2 Algebraic Irrational √3 1.7320508075688772935274463415059… The square root of 3 Algebraic Irrational √5 2.2360679774997896964091736687313… The square root of 5 Algebraic Irrational φ (Golden ratio) 1.6180339887498948482045868343656… Divides a line into two parts with a specific ratio Algebraic Irrational √(2 + √2) 1.8477590650225735122588520317799… Nested square root Algebraic Irrational Continued Fraction of √2 [1; 2, 2, 2, …] Continued fraction representation of √2 Algebraic Irrational π (Pi) 3.1415926535897932384626433832795… The ratio of a circle’s circumference to its diameter Transcendental e (Euler’s number) 2.7182818284590452353602874713527… The base of natural logarithms Transcendental ln(2) 0.6931471805599453094172321214581… Natural logarithm of 2 Transcendental ln(3) 1.0986122886681096913952452369225… Natural logarithm of 3 Transcendental ln(5) 1.6094379124341003746007593332262… Natural logarithm of 5 Transcendental π + e 5.8598744820488384738233808556322… Sum of π and e Transcendental π * e 8.5397342226735670654635508695463… Product of π and e Transcendental π – √2 0.7279799588222514799625113035756… Difference between π and √2 Transcendental π^2 9.8696044010893586188344909998761… Pi squared Transcendental √π 1.7724538509055160272981674833411… Square root of pi Transcendental √(π – e) 1.2733631357053975492476220366719… Square root of the difference between pi and e Transcendental e^π 23.140692632779269005729086367948… e raised to the power of pi Transcendental

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Uses Of Arithmetic Mean