Since it is the square root of a negative number, it is actually imaginary, neither rational nor irrational. It is equal to 9i, or 9 times whatever the square root of negative one is.square root of -81 = square root of 81 times i = 9i
no: the decimal is not repeating or terminating and therefore cannot be written as a fraction, which is one of the two requirements to be a rational number.
Well, no one knows who exactly 'invented' rational numbers. Most nations believed all numbers were rational until Pythagoreas proved this untrue by the square root of two.
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.
Treat it like a positive and add an i. Explanation: The square root of negative nine is equal to the square root of nine times negative one is equal to the square root of nine times the square root of negative one. The square root of negative one represented by an italic lower case i. The square root of negative nine is 3i. √-9 = √9 * -1 = √9 * √-1 = 3i
No.
Yes.
The square root of 1 is 1 which is a rational number
Yes, they are rational.
yes, one such is the square root of four, which is two
The square root of 1/16 is 1/4, so yes it's rational.
The square root of 1 is 1, so the answer is yes.
No.
The square root of 100 is 10.
5*5 = 25 so one square root of 25 is 5 = 5/1 which is rational. The other square root is -5 which, since it is equal to -5/1 is also rational.
Since it is the square root of a negative number, it is actually imaginary, neither rational nor irrational. It is equal to 9i, or 9 times whatever the square root of negative one is.square root of -81 = square root of 81 times i = 9i
The square root of 40 is an irrational number, due to the fact that one could extend the answer to an infinite number of decimal places if one was able to.