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No because 2 to the power of 3 is 8 which is a rational number

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7y ago

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Will any irrational number divided by an irrational number be irrational?

No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.


Can You multiply a rational and irrational number and get an irrational product?

Yes, multiplying a rational and an irrational number gives an irrational product. For example 3 * pi = 3pi = 9.424789... or 2 * sqrt 2 = 2^(3/2).


Is 3 a irrational number?

No, 3 is a rational number. Pi and the square root of 2 are irrational numbers.


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No. The easiest counter-example to show that the product of two irrational numbers can be a rational number is that the product of √2 and √2 is 2. Likewise, the cube root of 2 is also an irrational number, but the product of 3√2, 3√2 and 3√2 is 2.


Two irrational number whose sum is an irrational number?

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The square root of 3 is an irrational number


Is three times an irrational number always an irrational number?

yes, unless you were to simplify (example: 3 times 3/2 = 6/2 = 3)


Is -2 divided by 3 an irrational number?

No. It can be written as -2/3.


Are squares of irrational numbers always rational?

No. The cube root of 3, for example is irrational. But the square of cubert(3) is 3 to the power 2/3, which is irrational. Another example, pi2 is irrational (in fact so is pi to any non-zero power).


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1.5


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