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They can be written in a variety of ways.

  • There are transcendental mathematical constants, such as pi, e, phi (the Golden ratio), or any non-zero multiple of these;
  • There are square roots of numbers which are not squares [but be careful when it comes to fractions: the square root of 1.5625 is not irrational since 1.5625 = 25/16 and so its square root is 5/4 or 1.25];
  • Similarly, there are cube roots, fourth roots and so on.


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8y ago
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8y ago

For practical purposes, you would usually round it to an appropriate number of digits. For example, pi can be approximated as 3.14, or as 3.1416, or as 3.14159265, etc.

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Q: What are ways you can write an irrational number?
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Is 1.73 an irrational number?

No. If you write an irrational number as a decimal, it will have an infinite number of decimal digits that don't repeat periodically.


Write a numerical expression of the sum of two irrational numbers resulting in an irrational number?

sqrt(2) + sqrt(3) is irrational.


Can you write out an irrational number in decimal form?

Not completely to its end. If you can completely write a number with digits, then it's a rational number.


Is irrational number can be decimal?

Any irrational number can be approximated by decimals. You can never write it exactly, since there are an infinite number of decimals, and these don't repeat.


Why is 4.323223222 an irrational number if you can predict what comes next?

Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.Being rational or irrational is not about "predicting the next digit"; the definition of a rational number is that you can write it as a fraction, with integer numerator and denominator.


Is -11.7 an irrational number?

NO it is not irrational, that is to say it IS rational. If you can write a number as ratio of integers, it is rational. -11.7 can certainly be written as a ratio of integers.


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Is zero an irrational number?

No. Quite simply an irrational number cannot be written as a fraction and you could write zero as a fraction ex. 0/1


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Write 2 more sentences explaining what it means for a number to be irrational?

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Can you add two irrational numbers to get a rational number?

Yes Yes, the sum of two irrational numbers can be rational. A simple example is adding sqrt{2} and -sqrt{2}, both of which are irrational and sum to give the rational number 0. In fact, any rational number can be written as the sum of two irrational numbers in an infinite number of ways. Another example would be the sum of the following irrational quantities [2 + sqrt(2)] and [2 - sqrt(2)]. Both quantities are positive and irrational and yield a rational sum. (Four in this case.) The statement that there are an infinite number of ways of writing any rational number as the sum of two irrational numbers is true. The reason is as follows: If two numbers sum to a rational number then either both numbers are rational or both numbers are irrational. (The proof of this by contradiction is trivial.) Thus, given a rational number, r, then for ANY irrational number, i, the irrational pair (i, r-i) sum to r. So, the statement can actually be strengthened to say that there are an infinite number of ways of writing a rational number as the sum of two irrational numbers.


Is 3.14 an irrational number?

No, 3.14 is not an irrational number.