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The square roots of perfect squares are the numbers that when squared create perfect squares as for example 36 is a perfect square and its square root is 6 which when squared is 36

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0There are 24 perfect squares between 50 and 1000.

The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.

100 is a perfect square of 10.The square root of 1000 is 31.6blahblahblah, so the square of 31 is less than 1000 and the square of 32 is more than 1000.That means the perfect squares between (not including) 100 and 1000 are the squares of 11 through 31, a total of 21 different values.

No. There are infinitely many perfect squares so there is no "the" perfect square.

The smallest perfect squares that end with 9 are 9 (the square of 3) 49 (the square of 7). Their difference is 40.

No. Convention defines perfect squares as squares of positive integers.

Find the perfect squares that your number lies between. Your square root will lie between their square roots. Whichever it is closer to will indicate the size of the decimal.

No- the closest perfect squares are 36 (perfect square of 6) and 49 (perfect square of 7)

There is a partial relationship. The principal square root of a perfect square is the number itself. For example, the principal square root of 5^2 = the principal square root of 25 = the positive element in {-5, 5} = 5. The converse is not true. The number 3, for example, has a square root which are approx -1.7321 and 1.7321. But the square of either of these numbers is 3, but that is not a perfect square since it is not the square of an integer.

No, 188 is not a perfect square. The nearest perfect squares as 169 and 196.

That the set of perfect squares is closed under multiplication. That is if x and y are any two perfect squares, then x*y is a perfect square.

None. Perfect squares, by definition, are the squares of counting numbers and these cannot be fractions.

The square root of 3000 is 54.77 and the square root of 3200 is 56.57. So the only perfect squares in the required number range are 552 = 3025 and 562 = 3126.

It does not matter! There are more numbers that are not perfect squares than there are perfect squares and the universe has not ground to a screeching halt!

No, 276 is not a perfect square. The nearest perfect squares are: 162 = 256 172 = 289

Perfect square roots are the counting numbers {1, 2, 3, ...} The squares of the perfect square roots are the perfect squares, namely 1² = 1, 2² = 4, 3² = 9, etc.

No. The two closest squares are 49 and 36. The square root of 49 being 7 and the square root of 36 being 6. you can conclude that the square root of 42 isn't a perfect square, but it's square root is between 7 and 6.

No. 2.25 is not a perfect square but it is rational.

A perfect square is a rational number that is the square of another rational number. 9, 16, 25, etc., are perfect squares of 3, 4, 5, etc., and X2 + 6X + 9 is a perfect square of (X + 3).

No. The main reason why is because a square is perfect. Not all quadrilaterals are perfect squares

All numbers have factors. Some factors are perfect squares. We call these perfect square factors. 9 is a perfect square factor of 27.

No, it is not. For it to be a perfect square, the square root of it would have to be an integer, but √120 ≈ 10.954. 100 and 121 are perfect squares nearest to 120. ■

The perfect squares up to 4 are 1 and 4.

There is only one perfect square and, for what it is worth, it is 166,750,006,485,200,713,138,435,033,584,900

It is a square number but not a perfect square. The nearest perfect squares, on either side, are 4^2 = 16 and 5^2 = 25. Since there is no integer between 4 and 5 and the square is a strictly monotonic function, 18 cannot be a perfect square.

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