Determine whether the number is rational or irrational. Explain.
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OpenStudy (gokuporter):
\[\sqrt{20}\]
OpenStudy (gokuporter):
@jabez177
OpenStudy (gokuporter):
I think the number 20 is irrational because 20 is not a perfect square.
OpenStudy (gokuporter):
@RhondaSommer
RhondaSommer (rhondasommer):
well, whats the definition of rational?
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OpenStudy (gokuporter):
The square root of any number that is not a perfect square is irrational.
RhondaSommer (rhondasommer):
thats not what i asked though
RhondaSommer (rhondasommer):
what is the definition of rational.
OpenStudy (gokuporter):
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.
OpenStudy (gokuporter):
@Loser66
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OpenStudy (gokuporter):
Nevermind it's irrational.
OpenStudy (loser66):
how about "explain" part?
OpenStudy (gokuporter):
The square root of 20 is irrational because it can't be written as a fraction or decimal.
OpenStudy (gokuporter):
*ratio
OpenStudy (loser66):
You need prove it.
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OpenStudy (gokuporter):
Well the square root of 20 is 4.472135955 and this can't be written as a ratio or fraction.