Question

list of rational numbers up to 50?

Answer 1

not possible as there are an infinite number of them

Answer 2

infinite

Answer 3

are you sure that is what the question asks?

Answer 4

Oh sorry I meant up to the square root of 50. :) Also it's not really for a school question. I'm studying for high school.

Answer 5

still not possible

Answer 6

there are an infinite number of rational numbers between 0 and 1
or between any two numbers
you cannot list them

Answer 7

satellite your bicycle for some reason is memorizing

Answer 8

memorizing what?

Answer 9

mesmerizing

Answer 10

oooh
i bought that with my first 1,000 medals

Answer 11

For example...
√1
√2
√3
√4
√5
√6
√7
√8
√9
√10
√11
√12
√13
√14
√15
√16
√17
√18
√19
√20
Which ones are rational?

Answer 12

oh i see
the ones that are perfect square, and only those

Answer 13

Perfect Square?

Answer 14

for example
\[\sqrt{16}=4\] is rational, but \(\sqrt{15}\) is not

Answer 15

i told u to read that proof
sqrt prime = irrational

Answer 16

\[\sqrt 1=1\] that is ratioal

Answer 17

But still there will be infinite rational numbers.

Answer 18

\[\sqrt4=2\] is also rational

Answer 19

@dan815 The link wouldn't work on my computer.
@satellite73 So 19 would be irrational?

Answer 20

think the question is really
"which integers have rational square roots?"

Answer 21

@CrazyCountryGirl yes they are all irrational, unless they are actually integers

Answer 22

OK. :) Would 0.278 with a line above the 8 be rational?

Answer 23

when i say "perfect square" i meant for example \(25\) because \(25=5^2\)

Answer 24

yes, any repeating decimal is also rational

Answer 25

and the line above the \(8\) means the decimal repeats

Answer 26

suppose
Sqrt P = m/n <--- m and n being integers making it a rational number
then P=m^2/n^2
and n^2*P=m^2 , but m^2 has an even number of prime factors
and n^2*p = an odd number of prime factors therefore by contradiction
sqrtp cannot equal m/n

Answer 27

\[.027\overline{8}=.0278888888...\]

Answer 28

any terminating decimal or repeating decimal is rational
the decimal for an irrational number is non repeating, not terminating

Answer 29

Oh.... So which of these would be rational, explain please. :)
π
0.278 (line above the 8)
–0.8764…
√19

@satellite73

Answer 30

all are irrational except the repeating decimal

Answer 31

Oh so the third one?

Answer 32

no, the second one is the repeating decimal
that is the only rational number in that list

Answer 33

did you figure out how to get youtube videos yet?

Answer 34

Oh. :) Can you explain? Yes. I'm not allowed to use it on my mom
s computer though. Last time I did, it got the blue screen of death. :(

Answer 35

lol

Answer 36

lol, you didn't have to do extra chores around the house. :(

Answer 37

\(\pi\) is irrational because... well because it is
that is why it is represented by a greek letter rather than a fraction

Answer 38

\[\sqrt{19}\] is irrational because the square root of anything is irrational, unless the number inside is a perfect square

Answer 39

you are supposed to think \[–0.8764…\] is irrational because of the \(...\) and no pattern, so it is not supposed to repeat (a stupid assumption, but that is what they want you to think)

Answer 40

so the only rational one is the repeating decimal

Answer 41

i wonder if Christina Grimmie has to do chores around the house when she makes youtube videos

Answer 42

:P