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How can I how that for any prime number p square root of p is an irrational number?
Wiki User
∙ 14y ago
Suppose not. Let p be prime and n = Sqrt[p]. Since p is an integer, if n is rational, then n is also an integer. So we have n.n = p. But since p is prime, only 1 and p divide p. -><- therefore n must not be rational
Wiki User
∙ 14y ago
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Will the square root of a prime number be rational or irrational?
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.
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
How do you find an irrational square root?
An irrational number is a number that never ends. An example of an irrational square root would be the square root of 11.
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 21 a rational number?
No. The square root of an integer is either an integer, or an irrational number.
Will the square root of a prime number be rational or irrational?
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.
Is the square root of 19 irrational or rational?
The square root of the prime number 19 is an irrational number
How can you prove that the square root of three is an irrational number?
Because 3 is a prime number and as such its square root 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 169 a rational or irrational number?
The square root of 169 is 13 which is a rational and also a Prime number
Is radical 5 arational number?
√ 5 is an irrational number. Any square root of a prime number is irrational.
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
Why is the square root of 7 irrational?
Because 7 is 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 19 a rational number?
No. 19 is a prime number, and all prime numbers have irrational roots.
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 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.
