Q: What prime numbers have square roots between 4 and 5?

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Every square number (except 1) is composite. Prime numbers only have two factors, one and the numbers themselves. Since square numbers also have at least the square roots as factors, they have to be composite.

No. Lots of square roots are not rational. Only the square roots of perfect square numbers are rational. So for example, the square root of 2 is not rational and the square root of 4 is rational.

There are an infinite number of irrational numbers between 1 and 6. There are all the square roots from 1 to 36 except for 1, 4, 9, 16, 25, and 36. There are all the cube roots between 1 and 216 except for 1, 8, 27, 64, 125, 216. You can calculate fourth roots, fifth roots and continue calculating roots all year long. You should only have your supercomputer calculate irrational roots. Otherwise, you will duplicate. When you have calculated all roots of all prime numbers that fall between one and six, and added in all physical constants, then you will know the answer.

Rational numbers whose square roots are whole numbers are themselves whole numbers. They are called square numbers, e.g. 1, 4, 9, 16, 25 and so on.

No. Square root of 9=3. 3=3/1. Therefore not all square roots are irrational

Related questions

The prime numbers with square roots between 4 and 5 are 5 and 7.

No, there are no prime numbers that are also square numbers. Prime numbers are only divisible by 1 and themselves, while square numbers have integer square roots. Since the square root of a prime number is not an integer, a prime number cannot be a square number.

They aren't. The square roots of prime numbers are always irrational.

No. For example, the square roots of prime numbers cannot be simplified.

No. 19 is a prime number, and all prime numbers have irrational roots.

All whole numbers between 1 and 400 (=20 square).

Prime numbers can't have whole number square roots, of course, but the largest prime number under 400 is 397.

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No. The square roots 8 are irrational, as are the square roots of most even numbers.

The square numbers integers between 576 and 10000 (and their square roots, in the left column) are: 245762562526676277292878429841309003196132102433108934115635122536129637136938144439152140160041168142176443184944193645202546211647220948230449240150250051260152270453280954291655302556313657324958336459348160360061372162384463396964409665422566435667448968462469476170490071504172518473532974547675562576577677592978608479624180640081656182672483688984705685722586739687756988774489792190810091828192846493864994883695902596921697940998960499980110010000

Every square number (except 1) is composite. Prime numbers only have two factors, one and the numbers themselves. Since square numbers also have at least the square roots as factors, they have to be composite.

The square roots of all non-negative numbers smaller than 14.