The square root of 3 is an irrational number
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The square root of 9 is 3 which is a rational number
No, the square root of 3 is not rational.No. The square root of 3 is irrational.More generally: if p is a prime number then the square root of p is irrational and the proof of this fact mimics the famous proof of irrationality of the square root of 2.No - the square root of 3 is not rational, but the proof is too involved to post here.
Sometimes it is and sometimes it isn't. The square root of 2 and the square root of 3 are both irrational, as is their product, the square root of 6. The square root of 2 and the square root of 8 are both irrational, but their product, the square root of 16, is rational (in fact, it equals 4).
No. Sqrt(4) = 2, sqrt(0.04) = 0.2 are examples where the square roots are rational. Sqrt(3) is irrational Sqrt(-3) is neither rational nor irrational but imaginary.
no the square root of 9 is 3 which is rational since it can be written as 3/1. remember a rational number is any number that can be written as a/b where a and b are integers.