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The square root of 3 is an irrational number
Yes, multiplying a rational and an irrational number gives an irrational product. For example 3 * pi = 3pi = 9.424789... or 2 * sqrt 2 = 2^(3/2).
No, 3 is a rational number. Pi and the square root of 2 are irrational numbers.
Sqrt(2) and sqrt(3)
yes, unless you were to simplify (example: 3 times 3/2 = 6/2 = 3)