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The square root of a composite number is not always an irrational number.

e.g. 4 is a composite number and its square root is 41/2 = 2, which is rational number.

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โˆ™ 2011-01-22 12:55:26
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Q: Is the square root of any composite numbers irrational?
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Can a composite number have an irrational square root?

Yes as for example the square root of 34 is irrational


What is example of irrational numbers?

[ square root of (2) ] is irrational


Is the square root of 225 a subset of the irrational numbers?

The square root of 225 is 15, which is NOT an irrational number.


Is the square root of negative 6 irrational?

No, it is not irrational because it is a square root of a negative number - which falls into the set of Complex numbers. Irrational numbers can not have an imaginary component.


Is the square root of 41 irrational?

Yes in fact the root of all prime numbers is irrational.


What two consecutive numbers make up the square root of 300?

The square root of 300 is irrational. Irrational numbers are infinitely dense and therefore the concept of consecutive numbers cannot be applied to irrational numbers.


Is the square root of any composite numbers rational?

Yes, of some; the square root of any perfect square is rational - for example, the square root of 4, of 9, of 16, etc.On the other hand, if your "composite number" is not a perfect square, then its square root 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 square root of 4725 with only prime numbers?

The square root of 4725 is irrational!


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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.


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Is the square root of all even numbers irrational?

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