Pairs of numbers.
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The same number is multiplied with itself to form a perfect square i.e. a perfect square has real and repeated equal numbers as factors.
√155 is. 155 has no factors that are perfect squares, so there's no way to simplify it.
I'm not sure exactly what your question is, but the squares of 4 and 5 do have this property (and are the only perfect squares that do).
It is in its simplest form, however both are perfect squares. It could be stated to be (4/5)2 for your own interest also
There is only one number of this type which is 7744=88^2 where a is 7 and b is 4