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What does nonzero irrational number mean?

Updated: 11/1/2022

Wiki User

∙ 10y ago

Best Answer

It means that:

a) The number is irragional, and

b) the number is not zero.

Since zero is rational, it isn't irrational, so saying that it is nonzero is really superfluous.

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∙ 10y ago

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What is product of a nonzero rational number and a irrational number?

It is an irrational number.

What is the product of a nonzero rational number and an irrational number?

The product will be irrational.

Is the product of a nonzero rational and a irrational number irrational?

Yes, always.

Is 82 an irrational number?

82 is not an irrational number because it can be expressed as the quotient of two integers: 82÷ 1.

Why the product of nonzero rational number and an irrational number is an irrational?

Suppose a is rational (and non-zero) and x is irrational. Suppose ax is rational;write ax = b where b is rational.Then x = b/a, and x would be rational, contradiction.

Related questions

Why the product of nonzero rational number and a rational number is an irrational?

Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)

What is product of a nonzero rational number and irrational number is?

It is irrational.

Nonzero rational number and in irrational number makes what?

An irrational number.

What is product of a nonzero rational number and a irrational number?

It is an irrational number.

Is the product of a nonzero rational number and an irrational number rational or irrational?

It is always irrational.

The product of nonzero rational number and an irrational number is irrational?

Yes.

Is the product of a nonzero rational number and an irrational number irrational?

Yes, always.

What is the product of a nonzero rational number and an irrational number?

The product will be irrational.

Is the product of a nonzero rational and a irrational number irrational?

Yes, always.

Is the absolute value of any nonzero number an irrational number?

O

Can you multiply an irrational number by a rational number and the answer is rational?

The product of an irrational number and a rational number, both nonzero, is always irrational

Is 82 an irrational number?

82 is not an irrational number because it can be expressed as the quotient of two integers: 82÷ 1.

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What does nonzero irrational number mean?

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