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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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13y ago

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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 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)


Is a square root of 3 rational or irrational?

The square root of 3 is an irrational number


What is the example of irrational?

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


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 3 divided by 2 irrational?

1.5


Is an irrational number between 2 and 4?

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Some irrational numbers?

square root of (2 ) square root of (3 ) square root of (5 ) square root of (6 ) square root of (7 ) square root of (8 ) square root of (9 ) square root of (10 ) " e " " pi "


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?

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