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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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the 5s because it has better service but it dosent have diffrent colrs just silver gold and black

Do you want to plant a row of pine trees as a wind break, or just move or add a tree to your landscape? Planning how and when to transplant a tree from one spot in the yard to… another doesn't have to be too difficult. (MORE)

Do you suffer from painful skin lesions in your armpits, under your breasts, around your groin or other areas of your body where skin folds against skin?… (MORE)

With the financial industry having such a questionable reputation, it's easy for people under 30 to ignore advice from financial advisors. You might assume that these advisors… are just trying to fill their own pockets. However, millions of people count on these professionals to help them gain financial freedom. Many (MORE)

The stock market is one of the more intimidating subjects in all of personal finance. You may want to get into the stock market, but are hesitant because you don't understand …the basics. Review these basics to get into the stock market with confidence. (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)

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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 Numbers

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