No.
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square root of 9 = 3 but 2, 17 and 23 are irrational numbers
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.
[ 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.