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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.

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Q: Why is 3 square root of 2 is irrational?
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Related questions

Are root 2 and root 3 rational or irrational?

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


Is a square root of 3 rational or irrational?

The square root of 3 is an irrational 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).


How do you prove that root 2 root 3 is an irrational number?

It is known that the square root of an integer is either an integer or irrational. If we square root2 root3 we get 6. The square root of 6 is irrational. Therefore, root2 root3 is irrational.


Can multiplying two irrational numbers give you an irrational number?

Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)


What is the example of irrational?

Square root of 2, square root of 3, square root of 5, pi, e


Is an irrational number between 2 and 4?

The square root of 3 is an irrational number


Is the square root of 3 divided by 2 irrational?

1.5


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 3 times the square root of 2 divided by 5 times the square root of 2 an irrational number why or why not?

I would answer no because 3√2 ____ 5√2 Would simplify to 3 divided by 5 and that is not irrational.


Is 3 a irrational number?

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Is the square root of -3 irrational?

The square root of -3 is an imaginary number and the square root of 3 is an irrational number that can't be expressed as a fraction