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Is the square root of one rational or irrational?

Updated: 9/22/2020
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The square root of 1 is 1 which is a rational number

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Q: Is the square root of one rational or irrational?
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Is the square root of -81 rational or irrational?

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


Is the square root of 151 is rational or irrational?

sqrt(151) = 12.28820573.... It would suggest that it is IRRATIONAL.


Is one over sixteen an irrational square root?

One over sixteen = 1/16, which is a rational number (not irrational). The square root of 1/16 = 1/4 (or -1/4), which is also a rational, so the answer is No.


Is the square root of one fourth rational?

Yes. Irrational numbers are found by getting the square root of a negative number.


Is the square root of 40 rational or rational?

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.


Is the square root of any number an irrational number?

no square root of 9 is 3 which is rational -- to be more specific: an irrational number is a number that cannot be expressed as a fraction. Pi, for example, is one of these numbers. If a number is not a perfect square (4, 16, 9, 144, 225, etc.), then it's square root is likely to be an irrational number. For example, the square root of 2 (1.41421356...) is an irrational number because it cannot accurately be expressed as a fraction.


Who can you tell what is rational and irrational?

A rational number is one that can be expressed as the ratio of two integers, for instance, 1/3, -5/3, 8 (which is equal to 8/1). An irrational number can't be expressed as the ratio of two integers. It has been proven that the square root of 2 (as well as the square root of any positive integer that is not a perfect square) is irrational. Pi and e, two important numbers in mathematics, are also irrational. It has also been proven that there are more irrational than rational numbers.


What are examples of irrational numbers?

An example is the square root of a number. Ex: square root of 2. This is 1 example, not the main one. Any cube root or square root which doesn't give a perfect number is an irrational number. Ex; square root and cube root of 5, since their answer will be 2.24 and 1.70 which are not perfect numbers like square roots of 25 and 64 or cube roots of 27 and 216.


Is the square root of one hundred a rational?

The square root of 100 is 10, and it is a rational number.


Is the square root of 5 an irrational or a rational number?

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.


Is the square root of one rational?

Yes, they are rational.


If one adds a rational number and an irrational number what type of number results?

an irrational number. also called a "surd". like 1+sqrt(5). (sqrt=square root)