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How do you find the primitive roots of 31?
You need to know the base for the modulo arithmetic. If the base is the integer p, then 31 can be expressed as n*p + r, or r is the remainder when 31 is divided by p. r is also called the primitive root of 31 modulo p. The primitive root of 31, by itself, has no meaning. It is only in relation to p that it has a meaning and a value. p = 2: primitive root = 1 p = 3: primitive root = 1 p = 4: primitive root = 3 p = 5: primitive root = 1 p = 7: primitive root = 3 p = 8: primitive root = 7 etc.
Is the square root of all even numbers irrational?
No.
What is the exact square root of two?
1.4142136 that is all the digits i know or that is all the numbers there is.
Is negative square root of 6 a natural number?
No. For two reasons: 1) Negative numbers are not natural numbers 2) All natural numbers are rational numbers but the square root of 6 is an irrational number and thus cannot be a natural number.
Are all real numbers can be irrational numbers?
No. Square root of (2, or 3, or 5, or 6, or 7, or 8, or 10, or 11) are all real and irrational.
