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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.
What else can I help you with?
Is the square root of 34 rational or irrational?
Irrational Number
Is the square root of 16 a rational number or irrational number?
The square root of 16 is 4 which is a rational number
Is the square root of 21 a rational number?
No. The square root of an integer is either an integer, or an irrational number.
Is the square root of 52 a rational number?
No the square root of 52 is irrational
Is the square root of 18 a rational or irrational number?
The square root of 18 is an irrational number because it cannot be expressed as a fraction.
Is the square root of a irrational number always rational?
No, the square root of an irrational number is not always rational. In fact, the square root of an irrational number is typically also irrational. For example, the square root of 2, which is an irrational number, is itself irrational. However, there are exceptions, such as the square root of a perfect square of an irrational number, which can be rational.
Is the square root of 29 a rational or an irrational number?
The square root of 29 is an irrational number.
Is the square root of 4.1 a rational or irrational number?
[ square root of (4.1) ] is irrational. But [ square root of (4) ] is rational.
Is the square root of 1.44 a rational or irrational?
The square root of 1.44 is 1.2 which is a rational number
Is the square root of 47 a irrational or rational number?
The square root of 47 is an irrational number.
Is the square root of 71 a rational number or irrational?
The square root of 71 is an irrational number
Is the square root of 26 a rational number or irrational number?
the square root of 26 is a irrational number
Is the square root of 4 irrational or rational?
It is rational. The root of a perfect square, such as 4, is rational; the root of any positive integer that is not a perfect square is an irrational number.
Is the square root of 7 irrational or rational?
It is a irrational number. Because the square root of every imperfect square is irrational number.
Is the square root of 155 rational or irrational?
The square root of 155 is an irrational number.
Is the square root of 32numbers rational or irrational?
The square root of 32 is an irrational number
Is square root of 37 rational or irrational?
The square root of 37 is an irrational number
