Question

Which is a rational number?

Answer 1

http://static.k12.com/bank_packages/files/media/mathml_25d6373a1a2904dd7744276658c6a6113270c49c_1.gif

Answer 2

http://static.k12.com/bank_packages/files/media/mathml_22a04f61651c394befaebaea6865bbb75c287700_1.gif

Answer 3

http://static.k12.com/bank_packages/files/media/mathml_9f47c9ec852dd208f88a70cfa051c38f77ef4bc2_1.gif

Answer 4

http://static.k12.com/bank_packages/files/media/mathml_a79dbe3644be8eb574b34a21a938be83f806befc_1.gif

Answer 5

I think 8 might not be it

Answer 6

A rational number is one which can be written as a ratio of integers.
Example: \(\Large\rm \sqrt9\) is rational because \(\Large\rm \sqrt{9}=3\)
And \(\Large\rm 3\) can be written as a ratio of integers \(\Large\rm \frac{3}{1}\).

Answer 7

where denominator is not 0.

Answer 8

If we look at for example \(\Large\rm \sqrt{8}\),
we can simplify this a little bit by writing it as \(\Large\rm \sqrt{4\cdot2}=\sqrt{4}\cdot\sqrt{2}=2\sqrt{2}\)
We were able to a perfect square out of it, but see how there is still a 2 stuck inside?
There is no fraction involving integers that represents sqrt(2), so that part of the number makes it irrational.

Answer 9

To simplify, if you're taking the square root of anything except a perfect square, then it is `irrational`.

Answer 10

So yes, you're correct, 8 is not the right answer c:

Answer 11

Do you understand how to find the correct option now?
Which square root gives you an integer solution?

Answer 12

Is it 16 cause it looks like a perfect square

Answer 13

Yes, good job!

Answer 14

Rational:
\[\Large\rm \sqrt{16}=4=\frac{4}{1}\]