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Is the square root 16 rational or irrational?
The square root of 16 is 4, which is a rational number.
Is the square root of 16 a rational or an irrational number?
sqrt(16) = +/- 3 Both +4 & -4 are rational. NB The square roots of prime numbers are irrational e.g. sqrt(2) = 1.413213562.... sqrt(3) = 1.732050808.... sqrt(5) = 2.236067978.... et seq.,
Is the square root of 20 is rational or irrational?
42 is 16, less than 20 52 is 25, more than 20. so, 20 is not a perfect square, and does not have an integral square root. But, the square root of any integer is either an integer itself, or irrational. So, square root 20 is irrational
Give an example of a square root that is not a rational number?
The square root of 2 is irrational because it cannot be expressed as a fraction in which the numerator and denominator are both integers.Another way of saying this is that the square root of 2 will have infinite decimal places in any a number system of any radix (base 10, base 2, base 3, base 16, etc)This should not be confused with imaginary numbers. Rational and Irrational numbers together combine to make the Real numbers, imaginary numbers are, however, not Real. Imaginary numbers are those that can be expressed as a Real number multiplied by the square root of negative 1 (also known as i or j)So, strictly speaking, both sqrt(2) and sqrt(-1) are "not rational numbers", however, they are not both "irrational" numbers.
What Greek mathematician discovered the square root of every whole number is irrational?
The reason nobody knows his name is that he was wrong. The square roots of 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, ... etc. are rational numbers.
