Is √21 real number, rational number, whole number, Integer, Irrational number?
Answers
Answered by
2
√21 real number, rational number, whole number, Integer, Irrational number?
it is a real number as well as a rational number
Answered by
4
1st of all let us understand what are the definitions of them.
Real number : The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2 (1.41421356..., the square root of 2, an irrational algebraic number). Included within the irrationals are the transcendental numbers, such as π (3.14159265...). It includes all type of numbers like rational, irrational, whole, Natural, integers.
Rational number : Rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Whole number : The positive integers.. Whole number set is {0,1,2,3,4,5.........}
Integer : an integer is number that can be written without a fractional component. i.g. 1, 2, 0, - 9, 2975, -890543.
Irrational number : It is a real number which is not rational. I.e they don't have p/q form. They may have non terminating non recurring end. E.g
![\sqrt{2} \: \: \: \sqrt{3} \: \: \: \sqrt{7} \: \: \: \sqrt{10} \sqrt{2} \: \: \: \sqrt{3} \: \: \: \sqrt{7} \: \: \: \sqrt{10}](https://tex.z-dn.net/?f=+%5Csqrt%7B2%7D+%5C%3A+%5C%3A+%5C%3A+%5Csqrt%7B3%7D+%5C%3A+%5C%3A+%5C%3A+%5Csqrt%7B7%7D+%5C%3A+%5C%3A+%5C%3A+%5Csqrt%7B10%7D+)
Hence
Real number : The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2 (1.41421356..., the square root of 2, an irrational algebraic number). Included within the irrationals are the transcendental numbers, such as π (3.14159265...). It includes all type of numbers like rational, irrational, whole, Natural, integers.
Rational number : Rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Whole number : The positive integers.. Whole number set is {0,1,2,3,4,5.........}
Integer : an integer is number that can be written without a fractional component. i.g. 1, 2, 0, - 9, 2975, -890543.
Irrational number : It is a real number which is not rational. I.e they don't have p/q form. They may have non terminating non recurring end. E.g
Hence
Similar questions