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3 years ago

7

When is the product of the square root of a prime number and a nonzero rational number a rational number?

1 answer:

Nookie1986 [14]3 years ago

8 0

Answer:

The square root of a prime number is always an irrational number, then the product of the square root of a prime number and a nonzero rational number is equivalent to:

"the product of an irrational number and a rational number different than zero...."

We know that the product of an irrational number and a rational number (different than zero) is ALWAYS an irrational number.

Then "When is the product of the square root of a prime number and a nonzero rational number a rational number?"

Never, the product will always be irrational.

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Licemer1 [7]

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-Dominant- [34]

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