l lang="eng"> The Irrationality the square source of 3        math & Science residence | Proficiency tests | Mathematical reasoning in Physics | Aeronauts 2000 CONTENTS Introduction Fermi"s Piano Tuner Problem How Old is Old? If the Terrestrial Poles to be to Melt... Sunlight Exerts Pressure Falling Eastward What if an Asteroid fight the Earth Using a Jeep to calculation the energy in Gasoline How perform Police Radars yes, really work? How "Fast" is the rate of Light? How long is a irradiate Year? How large is a Trillion? "Seeing" the Earth, Moon, and Sun come Scale Of Stars and also Drops the Water If i Were to develop a model of the Cosmos... A Number Trick Designing a High Altitude Balloon Pressure in the Vicinity that a Lunar Astronaut room Suit due to Outgassing the Coolant Water Calendar Calculations Telling Time by the Stars - Sidereal Time Fields, one Heuristic Approach The Irrationality of The Irrationality of The Number (i)i Estimating the Temperature that a level Plate in Low earth Orbit Proving the (p)1/n is Irrational as soon as p is a Prime and also n>1 The Transcendentality of Ideal Gases under consistent Volume, consistent Pressure, continuous Temperature and Adiabatic Conditions Maxwell"s Equations: The Vector and Scalar Potentials A possible Scalar ax Describing Energy density in the Gravitational Field A proposed Relativistic, Thermodynamic Four-Vector Motivational argument for the Expression-eix=cosx+isinx Another Motivational dispute for the Expression-eix=cosx+isinx Calculating the power from sunshine over a 12 hour period Calculating the energy from sunlight over actual complete day Perfect Numbers-A case Study Gravitation inside a Uniform hole Sphere Further note on Gravitation within a Uniform hollow Sphere Pythagorean Triples Black Holes and also Point set Topology Additional notes on black Holes and also Point collection Topology Field Equations and Equations of movement (General Relativity) The observer in modern physics A keep in mind on the Centrifugal and Coriolis Accelerations together Pseudo Accelerations - PDF File On growth of the cosmos - PDF File

## The Irrationality that

Problem: Prove that is one irrational number.

Solution: The number, , is irrational, ie., it can not be expressed as a ratio of integers a and b. To prove that this statement is true, let us assume that is rational so that we may write