Question

is -√4 irrational?

Answer 1

First, what's "rational"?
Second, what's "irrational"?
Third, can Sqrt(4) be simplified?

Answer 2

rational numbers are fractions, whole numbers, non-repeating decimals
irrational are deciamls that repeat (like pie)
and yes sqrt 4 can be simplified
but does the negative sign affect it being rational?

Answer 3

or no...

Answer 4

Actually, rational numbers are fractions whose numerators and denominators are integers. Pi is indeed an example of an irrational number in that it can't be expressed exactly as the ratio of two integers.

Hey, getoffmyback, does the negative sign outside the radical Sqrt(4) have any effect on the rationality or irrationality of Sqrt(4)?

Answer 5

Rational numbers can be expressed as a quotient (ratio) of two integers.
As for decimals, rational numbers as decimals either terminate, or, go on forever, but repeat.

That said, irrational numbers are decimals which are non-terminating AND non-repeating.

Not that any of that matters, mind you... can \(\Large -\sqrt{4}\) be expressed as a quotient of two integers?

Answer 6

I don't know that's actually my question...

Answer 7

I don't think so

Answer 8

I know that... but I'm sure something must have popped into your mind about... well, surely,
\(\Large \sqrt{4}\) can be simplified...

Answer 9

yes

Answer 10

Into..?

Answer 11

2

Answer 12

Okay... so doesn't that mean that \[\Large -\sqrt4 = -2\] ?

Answer 13

yes

Answer 14

So... is -2 rational?

Answer 15

ok so its rational

Answer 16

Yup.

Answer 17

YES

Answer 18

what about this one?^

Answer 19

I think its irrational

Answer 20

Is it?

Answer 21

you're agreeing with me?

Answer 22

idk >.<

Answer 23

rational!

Answer 24

because 0.17 is a deciaml that doesn't repeat

Answer 25

@terenzreignz?

Answer 26

You need to get your facts straight...

Answer 27

ok

Answer 28

-√4 irrational? Since Sqrt(4) simplfies to 2, -Sqrt(4) simplifies to -2. -2 is rational:

-2
---
1

which is the ratio of two integers.

So, yes, -Sqrt(4) is rational.