Select "Rational" or "Irrational" to classify each number.

http://prntscr.com/ddfu1c

Question

Select "Rational" or "Irrational" to classify each number.

http://prntscr.com/ddfu1c

zepdrix · Answer

Hmm this question is kind of tricky.

We know that 12*12=144 right?
So therefore $\rm \sqrt{144}=12$

We've got some weird decimals involving this number.

zepdrix · Answer

Ok ok ok, this might be a little hard to understand...
but like...
since 100 is a perfect square, every time you take 100 out of a number,
(which is the same as moving the decimal 2 places),
you end up with another perfect square (rational).

So for example if we take 144 and move the decimal 2 places, 1.44,
the square root of this number will be rational!

$\rm \sqrt{1.44}=1.2$

zepdrix · Answer

12*12 = 144

1.2*1.2 = 1.44

.12 * .12 = ?

yuii · Answer

0.0144?

zepdrix · Answer

Yes.

Therefore $\rm \sqrt{0.0144}=.12$ is a rational number! :)

yuii · Answer

Were the other questions I had right?

zepdrix · Answer

Yes, the first two were answered correctly.

yuii · Answer

Thank you.