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Can an irrational number be a decimal if so give an example?

Anonymous

∙ 10y ago

Updated: 12/9/2022

Irrational Numbers are decimal numbers that can't be expressed as fractions. An example is the square root of 2

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∙ 10y ago

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Q: Can an irrational number be a decimal if so give an example?

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Can you please give me an example of an irrational number and a rational number?

An irrational number cannot be written as a fraction or to an exact decimal such as the symbol for pi or the square root of two. A rational number can be written in the form of a fraction or a decimal to an exact value.

Can you give one example for surd which is not irrational?

It is impossible to have a surd that is not irrational. Surds are defined to be an irrational number (square root of a number).

Can multiplying two irrational numbers give you an irrational number?

Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)

What is irrational number and give example of irrational number?

An irrational number is a real number that cannot be expressed as a ratio of two integers, pq/ where q > 0. sqrt(2) and pi are examples.

How can you get an irrational number?

For example, by taking the square root of any positive integer, except a perfect square. Thus, the square root of 2, 3, 5, 6, 7, 8, 10, 11, etc. are all irrational. You can also make up a rule to write a number in decimal, that does not involve a regular repetition. Note that, for example, 5.4871313131313... (repeating "13" forever after that) is rational. However, if you write, for example, 0.1010010001000010000010000001... (adding one more zero each time) will give you an irrational number, since all rational numbers will repeat the same sequence of digits over and over eventually.

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Related Questions

Can you please give me an example of an irrational number and a rational number?

An irrational number cannot be written as a fraction or to an exact decimal such as the symbol for pi or the square root of two. A rational number can be written in the form of a fraction or a decimal to an exact value.

Can you add an irrational number and a rational number to give an irrational?

No, but you can add an irrational number and a rational number to give an irrational.For example, 1 + pi is irrational.

What is rational and irrational number give example?

All integers and fractions are rational numbers whereas irrational numbers can't be expressed as fractions as for example the square root of 2 can't be expressed as a fraction because it is a non-terminating decimal number.

Can you give one example for surd which is not irrational?

It is impossible to have a surd that is not irrational. Surds are defined to be an irrational number (square root of a number).

Can multiplying two irrational numbers give you an irrational number?

Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)

What is irrational number and give example of irrational number?

An irrational number is a real number that cannot be expressed as a ratio of two integers, pq/ where q > 0. sqrt(2) and pi are examples.

Are irrational numbers closed under subtraction?

No, they are not. An irrational number subtracted from itself will give 0, which is rational.

Is the sum of two irrational number is always irrational?

No. For example, -root(2) + root(2) is zero, which is rational.Note that MOST calculations involving irrational numbers give you an irrational number, but there are a few exceptions.

Give the difference between rational and irrational numbers Give examples of each?

An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be. 2 is rational. The square root of 2 is irrational.

Which number produces an irrational number when added to 0.4?

Any irrational number, added to 0.4 will give an irrational number.

Which of the number will produce an irrational number when multiplied by 0.5?

Any irrational number, when multiplied by 0.5 will give an irrational number.

Can you add two irrational numbers to get an irrational number?

Yes.An example:1 + 2^(0.5) is an irrational number,1 -(2^(0.5)) is also a irrational number.(1 + 2^(0.5)) + (1- 2^(0.5)) = 22 is a rational number.Therefore the sum of two irrational numbers can equal a rational number.But this is not the question. Can you add two irrational numbers to get another irrational number. Yes. Almost all additions of two irrational numbers result in another irrational number. For instance pi (3.141...) and e (2.718...) are both irrational, and so is their sum. In some sense you have to work quite hard to make the sum not irrational (i.e. rational) because the two decimal expansions have to conspire together either to cancel out or to give a repeating decimal.Actually, pi+e may or may not be irrational. This hasn't been proved either way. See: http://en.wikipedia.org/wiki/Irrational_number (under "Open Questions")Yes. For example, pi + (-pi) = 0.any number that is a non-terminating decimal is called an irrational number.

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