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anonymous

  • one year ago

Which of the following numbers is irrational? negative 7 over 4, 2 over 3, square root of 3, square root of 4 a fraction with numerator negative 7 and denominator 4 a fraction with numerator 2 and denominator 3 square root of 3 square root of 4

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  1. anonymous
    • one year ago
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    help

  2. UsukiDoll
    • one year ago
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    \[\LARGE -\frac{7}{4}, \frac{2}{3}, \sqrt{3},\sqrt{4}\] like this?

  3. anonymous
    • one year ago
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    yes @UsukiDoll

  4. UsukiDoll
    • one year ago
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    ok the definition of a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Since q may be equal to 1, every integer is a rational number.

  5. UsukiDoll
    • one year ago
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    irrational numbers can't be expressed as fractions. having square roots is a dead giveaway of an irrational number

  6. UsukiDoll
    • one year ago
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    an irrational number is any real number that cannot be expressed as a ratio of integers. Irrational numbers cannot be represented as terminating or repeating decimals.

  7. UsukiDoll
    • one year ago
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    \[\LARGE e, \pi, \sqrt{2}\] are examples of irrational numbers.

  8. UsukiDoll
    • one year ago
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    so from this list \[\LARGE -\frac{7}{4}, \frac{2}{3}, \sqrt{3},\sqrt{4} \] which of them are irrational?

  9. anonymous
    • one year ago
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    3

  10. UsukiDoll
    • one year ago
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    yes the square root of 3 is irrational

  11. UsukiDoll
    • one year ago
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    the square root of 4 can be simplified further into 2 and it's rational because it can be expressed as a fraction which is \[\LARGE \frac{2}{1}\]

  12. UsukiDoll
    • one year ago
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    \[\LARGE \frac{2}{1} \rightarrow 2 \]

  13. UsukiDoll
    • one year ago
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    everything else is rational \[\LARGE \sqrt{3} \] is irrational.

  14. anonymous
    • one year ago
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    thanks :) @UsukiDoll

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