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Mathematics 15 Online
FantasticlyArtsy:

Another one!

FantasticlyArtsy:

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FantasticlyArtsy:

@vocaloid pls help<3

Vocaloid:

like I mentioned in the previous problem: - integers are rational - termiting decimals are rational - any numbers that can be written as the ratio of two integers is rational - non-perfect squares are irrational with that in mind, go through the list and think about whether each is rational or irrational

Vocaloid:

is the square root of 2 rational or irrational? what does it equal?

FantasticlyArtsy:

im lost--

Vocaloid:

try plugging sqrt(2) into a calculator. what do you get?

Vocaloid:

review rational vs. irrational numbers when you get a chance. when you try to calculate the square root of 2 you should get something like 1.41... and some decimals after that that go on infinitely. that's because 2 is not a perfect square. so you have one irrational number, sqrt(2) looking at the other numbers in your list, you also have 21 and 1/3, which is rational (you can re-write this as 64/3 which is the quotient of two integers, 64 and 3 567 is an integer. those are always rational. 5.487 is a decimal that stops (terminates). those are always rational. so your list has *both rational and irrational numbers)

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