Try taking the square root. The square root of a positive integer can only be:
* A whole number, in which case it is of course rational, or
* Irrational.
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No, the square root of 1000 is not rational.
The square root of 4 is 2. 2 is a rational number so they square root of 4 is rational.
42 is 16, less than 20 52 is 25, more than 20. so, 20 is not a perfect square, and does not have an integral square root. But, the square root of any integer is either an integer itself, or irrational. So, square root 20 is irrational
[ square root of (4.1) ] is irrational. But [ square root of (4) ] is rational.
It is rational. The root of a perfect square, such as 4, is rational; the root of any positive integer that is not a perfect square is an irrational number.