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The same reasoning you may have seen in high school to prove that the square root of 2 is not rational can be applied to the square root of any natural number that is not a perfect square.

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โˆ™ 2012-06-13 20:08:04
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Q: Why is 37 square root an irrational number?
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Related questions

Is the square root of 37 an irrational?

The square root of 37 is an irrational number.


Is square root of 37 rational or irrational?

The square root of 37 is an irrational number


Is the square root of 37 a rational or an irrational number?

It is an irrational number


Is the square root of 37 rational or irrational?

√37 is irrational.


What is an irrational number between 6 and 28?

The square root of 37.


What is a irrational number between 6 and 7?

the square root of 37


Is the square root of 37 irrational?

Yes


What is an irrational number between twin primes five and seven?

the square root of 37


What number is 37 a square root of?

It is the square root of 37*37 = 1369


Square root of 37?

Buy a calculator with a square root button? Approximately 6.08276. Since the square root of 37 is an irrational number, its decimal representation neither terminates nor repeats. See http://en.wikipedia.org/wiki/Irrational_number.


Is the square root of 37 a rational number?

No.


Is 37 irrational?

No, 37 is not an irrational number.


Is square root of 37 a rational Number?

No


what is the sqaur root of 37?

The square root of 37 is ยฑ 6.082.


What number is before the square root of 1300?

36*36 = 1296 and 37*37 = 1369 So sqrt(1300) lies between -37 and -36 or 36 and 37 So, the number before the square root of 1300 is either -37 or +36


What is the square root of negative 37?

The square root of negative 37 is: ~6.0827 i


What is the square root of 1369?

The square root of 1369 = 37, -37 To prove this, 1369 = 37^2


Using prime factorization find the square root of 1369?

37 x 37 = 1369 The square root is 37.


Square root of thirty seven?

The square root of 37 is: ± 6.082763


Is the square root of 37 rational?

is the square root of 3 rational


What is square root of 37?

The square root of 37 is the number which yields 37 when multiplied by itself. Since 6x6 is 36, the square root of 37 will be slightly higher than 6. A calculator will be necessary if you don't know the longhand method for finding square roots. This method is no longer taught in schools — suffice it to say, it's like long division, but more complicated. The answer is 6.0827625303.


Is -37 an irrational number?

-37 is the ratio of -37 to 1 . It's completely rational.


Is 37 an irrational number?

No. It's the ratio of 37 to ' 1 ', which is about as rational as you can get.


What is the square root of -37?

.6082


Is the square root of 37 an integer?

No.