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Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]

0 [rational] * sqrt(2) [irrational] = 0 [rational]

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Q: Is a rational number times a irrational number?
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Related questions

Does a rational number times an irrational number equal a rational number?

No. If the rational number is not zero, then such a product is irrational.


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

No.A rational times an irrational is never rational. It is always irrational.


What is the result of an irrational number times an rational number?

Unless the rational number is zero, the answer is irrational.


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

Not necessarily. 0 times any irrational number is 0 - which is rational.


What does a rational number times an irrational number equal?

The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.


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)


Is 10.01 a rational or irrational number?

10.01 is a rational number


Is 37.5 a rational or irrational number?

Rational


Is 0.272727 rational or irrational?

RATIONAL , because you can convert it to a RATION (FRACTION). Method Let P = 0.272727.... Then 100P = 27.272727.... Subtract 99P = 27 (Note the decimals to infinity subtract to zero. P = 27/99 Cancel down by '9' P = 3/11 ( Which is a RATIO/rational). Since both '3' & '11' are prime numbers this will not cancel down any further. Hence 3/11 = 0.272727....


Is 0.05 a rational or irrational number?

It is a rational number.


Is 34.5 rational or irrational?

is 34.54 and irrational or rational. number


Why the area of a circle with a rational radius must be an irrational number?

It the radius is r then the area is pi*r*r - which is pi times a rational number. pi is an irrational number, so the multiple of pi and a rational number is irrational.