The square root of 100 is 10, and it is a rational number.
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no: the decimal is not repeating or terminating and therefore cannot be written as a fraction, which is one of the two requirements to be a rational number.
Well, no one knows who exactly 'invented' rational numbers. Most nations believed all numbers were rational until Pythagoreas proved this untrue by the square root of two.
The square root of -81 is an imaginary number, specifically 9i, where i represents the imaginary unit equal to the square root of -1. Since the square root of -81 does not result in a real number, it is considered irrational. Rational numbers are those that can be expressed as a ratio of two integers, whereas irrational numbers cannot be expressed in this form.
A rational number can be expressed as the ratio of two integers (the number one does not count). An irrational number cannot. The square root of 5 cannot be expressed as the quotient of two integers. This assertion is by experience that the square root of a prime number is irrational. There are several methods to prove the irrationality -- look for them elsewhere. For the sake of curiosity, my calculator gives the following result for it: 2.2360679774997896964091736687312762354406183596115257242708972454105209256378048994144144083787822749695081761507737835042532677244470738635863601215334527088667781731918791658112766453226398565805357613504175337850034233924140644420864325390972525926272288762995174024406816117759089094984923713907297288984820886415426898940991316935770197486788844250897541329561831769214999774248015304341150359576683325124988151781394080005624208552435422355561063063428202340933319829339597463522712013417496142026359047379... You can say that it is irrational by looking at the inexact answer.
The square root