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sqrt(2), sqrt(3)

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Q: Two irrational numbers between 1 and 2?
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Continue Learning about Calculus

What are two irrational numbers whose product is rational?

Make the two irrational numbers reciprocals of each other. Ex.) 1/pi x pi = 1


Is the square root of -4 irrational?

The square root of -4 is not irrational, it is imaginary. Irrational numbers are numbers that cannot be expressed as a fraction, like the square root of 2. Irrational numbers, however, are a subset of real numbers. The square root of -4 however, is not even a real number because no real number, when squared, gives -4. Therefore the square root of -4 is an imaginary number.In calculus, the root is expressed as 2i where iis the square root of -1.


Are the square roots of all positive integers are irrational?

It might seems like it, but actually no. Proof: sqrt(0) = 0 (0 is an integer, not a irrational number) sqrt(1) = 1 (1 is an integer, not irrational) sqrt(2) = irrational sqrt(3) = irrational sqrt(4) = 2 (integer) As you can see, there are more than 1 square root of a positive integer that yields an integer, not a irrational. While most of the sqrts give irrational numbers as answers, perfect squares will always give you an integer result. Note: 0 is not a positive integer. 0 is neither positive nor negative.


Is .85 billion an irrational number?

No. It is 850000000, which is an integer. An irrational number is one that cannot be expressed as p/q, with p and q integers. 850000000=850000000/1, so it is not irrational.


Is the square root of 9 rational or irrational?

The square root of 9 is a rational number. This is because the square root of 9 is equal to 3, which can be expressed as a fraction, 3/1. In general, a rational number is any number that can be expressed as a ratio of two integers, which is the case for the square root of 9.