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In Numbers

Irrational numbers are numbers that cannot be expressed as fractions with whole numbers. They are generally roots (such as the square root of two) or constants (such as pi and… e). They are interesting because they cannot be exactly expressed as decimal numbers because they never terminate or repeat themselves. (MORE)

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In Numbers

The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4…)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number. (MORE)

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In Numbers

No. An irrational number can only be part of a whole number. Every whole number is rational. 1000000

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In Numbers

Sometimes it is and sometimes it isn't. The square root of 2 and the square root of 3 are both irrational, as is their product, the square root of 6. The square root of …2 and the square root of 8 are both irrational, but their product, the square root of 16, is rational (in fact, it equals 4). (MORE)

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Yes, but not always. An easy example is sqrt(2) + sqrt(2) + sqrt(2) = 3sqrt(2), an irrational number. An easy counterexample is 2sqrt(2) + -sqrt(2) + -sqrt(2) = 0, w…hich is rational. (MORE)

If you are experiencing any of these symptoms, it may be time for you to get outside and catch some rays. … (MORE)

MaryLou Ross

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As it turns out, these stars actually regret the roles responsible for launching their careers into unforgettable stardom. After you read our explanations, perhaps you'll unde…rstand why. (MORE)

When it comes to basic facts, what you don't know can hurt you, or at the very least surprise you.… (MORE)

As the saying goes, you can't teach an old dog new tricks. Some tricks, however, are so simple that even an old dog or new puppy can learn them. Just practice any of the follo…wing a few times a day with your dog. (MORE)

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In Numbers

That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is …irrational. (MORE)

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In Numbers

The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.

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In Science

Yes. The proof is easy. Let x be the irrational number and assume there exists some rational number r = a/b where a and b are integers (that's what it means to be rational…). Now suppose x/r is a rational number. Then x/r = (b/a)x = c/d where c and d are some other integers. Since (b/a)x=c/d, then x = bd/ac which means that x itself is rational, but we assumed it was irrational. The contradiction proves that the assertion is wrong. An irrational divided by a rational must be irrational. (MORE)

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In Science

No. The sum of an irrational number and any other [real] number is irrational.

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In Numbers

No, because if need be it can be expressed as a fraction whereas irrational numbers can't be expressed as fractions.