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Nice question!
The square root of (any number that isn't a perfect square) is irrational.
No Prime number is a perfect square.
So the square root of any prime number is irrational.
What else can I help you with?
Is the square root of 29 a rational number?
NO!!! '29' is a Prime Number. The square roots of prime numbers are irrational sqrt(29) = 5.385164807.... NB Irrational numbers are those where the decimals go to infinity AND there is no regular order in the decimal digits.
Is the square root of 5 an irrational or a rational number?
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.
Is every prime number a rational number?
Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Is the square root of 15 rational or irrational?
IRRATIONAL sqrt(15) = sqrt(3 x 5) =sqrt(3) X sqrt(5) Since the 'square roots' of prime numbers , '3' & '5' in this case, are irrational , then the square root od '15' is irrational .
How is root 2 irrational?
2 is a prime number and its square root is an irrational number that cannot be expressed as a fraction
Is the square root of 19 irrational or rational?
The square root of the prime number 19 is an irrational number
Is the square root of 169 a rational or irrational number?
The square root of 169 is 13 which is a rational and also a Prime number
Is the square root of 121 rational or irrational?
The square root of 121 is 11 which is a rational number and it is also a prime number
Is - square root 17 irrational rational irrational whole irrational rational?
17 is a prime number with no factors other than itself and 1 therefore minus square root of 17 is an irrational number.
Is the square root of 47 a rational number?
'47' is a prime number, so it does not have a rational square root. sqrt(47) = 6.8556546... to 9 d.p. An irrational number which cannot be converted to a quotient; that is made into a fraction. NB The square roots of prime numbers are irrational.
Is the square root of 19 a rational number?
No. 19 is a prime number, and all prime numbers have irrational roots.
Is 11 a rational or irrational number?
It is a rational number and also a prime number
Is the square root of 17 a rational number?
No because the square root of any prime number is irrational inasmuch that it can't be expressed as a fraction.
Is number 2 rational or irrational?
2 is a rational number and it is also a prime number
Is 2 a rational number or irrational?
It is rational. It is a whole number so it cannot be irrational.
Is the square root of 29 a rational number?
NO!!! '29' is a Prime Number. The square roots of prime numbers are irrational sqrt(29) = 5.385164807.... NB Irrational numbers are those where the decimals go to infinity AND there is no regular order in the decimal digits.
Is the square root of 3 rational?
No, the square root of 3 is not rational.No. The square root of 3 is irrational.More generally: if p is a prime number then the square root of p is irrational and the proof of this fact mimics the famous proof of irrationality of the square root of 2.No - the square root of 3 is not rational, but the proof is too involved to post here.
