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Are all square roots are irrational numbers?
No. The square roots of perfect squares are rational.
Which numbers are not square number's?
In the complex field, every number is a square so there are no numbers that are not squares. If the domain is reduced to that of real numbers, any negative number is not a square. However, the term "square numbers" (not number's!) is often used to refer to perfect square numbers. These are numbers that are squares of integers. Therefore the squares of fractions or irrational numbers are non-squares.
Is negative 90 squared... this is the one with the box around it... rational or irrational and are perfect squares rational or irrational?
-90 squared is rational - it is +8100. All perfect squares are not only rational but they are integers.
Is the perfect square of 64 a rational or irrational number?
It is a rational number - as are ALL perfect squares.
Can you write every integer as the sum of two nonzero perfect squares?
No.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
