Irrational numbers are the number which cannot be written in form of p/q where q≠O
One example of irrational number is √2
The question is why can we write √2 as √2/1 ?
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This is an incomplete definition of irrational numbers. The correct definition is "Irrational numbers are the number which cannot be written in form of p/q where q≠0 and p,q ∈ Z (Integers)".
But, √2 is not an integer. So, √2/1 is irrational and not national.
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Answer:
- Any number which can be expressed in the form P/Q, where P & Q are both integers & Q is not zero, is a rational number.
- If any number can't be expressed in the form P/Q, where P & Q are both integers & Q is not zero, then that number is irrational.
- √2 can be expressed as 2^(1/2)/1. But it is not a rational number, as the numerator P : 2^(1/2), itself is not an integer.
- √2 is an irrational number.
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