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    Numbers as Real and Rational, Real and Irrational, or Complex

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    1. Classify the given numbers as real and rational, real and irrational, or complex.

    a. (2)^1/2 + 2

    b. i

    c. 0

    d. 3-(-5)^1/2i

    e. (100)^1/5

    f. 30007

    g. (8)1/3

    h. 4+0i

    2. Think of any fundamental operation (addition, subtraction, muliplication, division, exponentiation) on

    a. Irrational number, which results in:
    > A rational number.

    > An irrational number.

    b. A complex number (a + bi, where a and b are real and b is not equal to zero), which results in:

    > A real number.

    > A complex number. (a + bi, where a and b are real)

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    https://brainmass.com/math/fractions-and-percentages/numbers-as-real-and-rational-real-and-irrational-or-complex-147842

    Solution Preview

    Welcome! Here you go...

    1. Classify the given numbers as real and rational, real and irrational, or complex.

    a. (2)^1/2 + 2
    real and irrational, since the square root of 2 is irrational

    b. i
    complex, since 'i' is imaginary

    c. 0
    real and rational, since you can write it as a fraction: 0/1

    d. 3-(-5)^1/2i
    complex, since this contains the imaginary ...

    Solution Summary

    Determining if various numbers are real, rational, complex, etc.

    $2.49

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