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Will any irrational number divided by an irrational number be irrational?

Updated: 4/28/2022

Wiki User

∙ 10y ago

Best Answer

No.

3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.

Wiki User

∙ 8y ago

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Q: Will any irrational number divided by an irrational number be irrational?

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Continue Learning about Algebra

Can an irrational number divided by an irrational number equals an irrational number?

Yes, an irrational number divided by an irrational number will usually be an irrational number, but not always. For example, pi / (3pi) is 1/3, which is a rational number, but pi/e is an irrational number.

What number can you add to any rational number to obtain an irrational number?

You can add any irrational number.

Why is 4 divided by 9 an irrational number?

0.4444

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.

Which number produces an irrational number when added to 0.4?

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

Related questions

Can An irrational number divided by an irrational number equals a rational number?

Yes. Any irrational number can be divided by itself to produce 1, which is a rational number.

Any number divided by 0 equals what?

irrational number

How can you compare rational and irrational numbers?

Rational number can be divided into more that the number 2. Irrational number are numbers that can only be divided evenly with the number 2.

When an irrational number is divided by a rational number is the quotient rational or irrational?

Irrational.

Can an irrational number divided by an irrational number equals an irrational number?

Yes, an irrational number divided by an irrational number will usually be an irrational number, but not always. For example, pi / (3pi) is 1/3, which is a rational number, but pi/e is an irrational number.

What happens when a rational number is divided by an irrational number?

When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.

Can irrational and rational numbers be divided?

You can divide any real number by any other real number, as long as you don't divide by zero.

What number can you add to any rational number to obtain an irrational number?

You can add any irrational number.

Why is 4 divided by 9 an irrational number?

0.4444

Is an irrational number divided by an irrational number always a rational?

No. sqrt(2)/pi is not rational.

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.

Which number produces an irrational number when added to 0.4?

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

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