Irrational number is non-repeating and non-terminating. Is it possible that an irrational number may contains a sequence of another irrational number? If no, than the rule of non-repeating and non-terminating will not be fulfilled.
If yes, than each irrational number can be transformed into another irrational number with the formula of
y = (10^n)x % 10
For example, in the sequence of PI, there may be 3.14....141421356.... Then It can be transformed into the square root of two by multiplying it with some n to become 314...1.41421356... and modded by 10 to become 1.41421356... which is the square root of two.
Is there any explanation in that if it is wrong? Or if it is correct, how to determine the value of n?
If by "sequence" you mean a finite sequence of digits of another number, then the answer is yes, a number exists that can do this for all real numbers, but nobody know what it is.
As a matter of fact, almost all real numbers will do this, but nobody has found a single example.
Numbers that will do this are numbers that are normal in every base. See https://en.wikipedia.org/wiki/Normal_number