You could place the radical of 5.5 between them. I hardly see how this helps though.
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There are an infinite number of them.
4*sqrt(2) Rational multiples of irrational numbers are irrational. sqrt(2) is about 1.414, and 5/4 = 1.25 < 1.414... < 1.75 = 7/4 so 4*sqrt(2) is between 5 and 7, and is irrational.
Any number that can't be expessed as a fraction is an irrational number as for example the square root of 4.5
5 squared is 5*5 is 25. 25 is not an irrational number.
√ 5 is an irrational number. Any square root of a prime number is irrational.