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The square roots of 2 and 3 are irrational but not transcendent.

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โˆ™ 2014-05-08 05:17:51
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Q: Are root 2 and root 3 rational or irrational?
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Related questions

Is a square root of 3 rational or irrational?

The square root of 3 is an irrational number


Is the square root of 3 irrational or rational?

It is irrational.


Is the square root of 3 squared rational or irrational?

They are rational.


The difference of two irrational numbers is an irrattinal number?

The sum, or difference, of two irrational numbers can be rational, or irrational. For example, if A = square root of 2 and B = square root of 3, both the sum and difference are irrational. If A = (1 + square root of 2), and B = square root of 2, then, while both are irrational, the difference (equal to 1) is rational.


Is the square root of 9 irrational or rational?

rational because it is 3! 10 would be irrational


Is 3 a irrational number?

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


Why is 3 square root of 2 is irrational?

sqrt(2) is irrational. 3 is rational. The product of an irrational and a non-zero rational is irrational. A more fundamental proof would follow the lines of the proof that sqrt(2) is irrational.


Is the square root of nine irrational or rational?

Its 3 which is a rational number


Is the square root of 9 rational or irrational?

It is rational.The square root of 9 is 3 and it is a rational number


Is the square root of 9 a rational or irrational number?

The square root of 9 is 3 which is rational.


Is the square root of 12 rational?

No, it is not. Root 12 = root 4 * root 3, which is the same as 2*root 3. And you should already know than root 3 is irrational.


Is square root 3 rational?

No, because the square root of 3 is an irrational number


Is the square root of 18 halves a rational or irrational number?

Sqrt(18/2) =Sqrt(9) =3 which is rational.


Is the sum of root 2 and root 3 irrational?

I'm assuming that you mean 'square root'. Yes, this sum is irrational. So are each of the two numbers alone. A simple proof can be done by writing x=square root 2 + square root 3 and then "squareing away" the square roots and then use the rational roots theorem. The sum or difference of two irrational number need not be irrational! Look at sqrt(2)- sqrt(2)=0 which is rational.


Is the square root of 300 rational or irrational?

300 = 2 x 2 x 3 x 5 x5 and sqrt(2) is irrational then sqrt(300) is irrational


Is the square root of 3 rational?

No, the square root of 3 is not rational.No. The square root of 3 is irrational.More generally: if p is a prime number then the square root of p is irrational and the proof of this fact mimics the famous proof of irrationality of the square root of 2.No - the square root of 3 is not rational, but the proof is too involved to post here.


Is squareroot of 9 rational or irrational?

The square root of 9 is 3 which is a rational number


2-root5 is irrational or rational?

-3


Is the square root of 3 a rational number?

No. 3 is not a perfect square, so its square root is irrational.


Is the square route of 9 rational or irrational?

The square root of 9 is 3 which is a rational number


Is the product of two irrational numbers irrational?

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).


Is sqare root of 9 over 16 rational or irrational?

The square root of 9/16 is 3/4 which is a rational number


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 the sum of two POSITIVE irrational numbers ALWAYS irrational?

No. Two irrational numbers can be added to be rational. For example, 1/3 + 2/3 = 3/3. 1/3 and 2/3 are both irrational, but 3/3 = 1, which is rational.


Can you cube an irrational number to form a rational number?

sure , take cube root of 3, that is irrational, but when you cube it you have 3 which is clearly rational! Doctor Chuck aka mathdoc

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