No, -3 is a rational number. All fractions are rational along with all decimals that terminate or repeat. (this applies to both positive and negative numbers.)
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No. It's +4 and -4.
It might seems like it, but actually no. Proof: sqrt(0) = 0 (0 is an integer, not a irrational number) sqrt(1) = 1 (1 is an integer, not irrational) sqrt(2) = irrational sqrt(3) = irrational sqrt(4) = 2 (integer) As you can see, there are more than 1 square root of a positive integer that yields an integer, not a irrational. While most of the sqrts give irrational numbers as answers, perfect squares will always give you an integer result. Note: 0 is not a positive integer. 0 is neither positive nor negative.
sqrt(2), sqrt(3)
You can find the square root of an irrational number by approximating irrational square roots of them, after you use the calculator. (The calculator gives an approximate root also) For example,1. Approximate the square root of 4.3 to the nearest hundredth.Use the calculator, which shows 2. 0736444135.Since 3 < 5 round down to 2.07 and drop the digits to the right of 7.2. Approximate the negative square root of 10.8 to the nearest hundredth.Use the calculator, which shows -3.286335345Since 6 > 5 round up to -3.29 and drop the digits to the right of 8.
It is proven that between two irrational numbers there's an irrational number. There's no method, you just know you can find the number.