Question

Which of the following sets includes only irrational numbers?

Answer 1

following??

Answer 2

https://www.google.com/search?q=real+numbers&source=lnms&tbm=isch&sa=X&ei=0-RHU-CUDeeK0AHSz4GAAg&sqi=2&ved=0CAYQ_AUoAQ&biw=2133&bih=1087#facrc=_&imgdii=_&imgrc=2E3Xm11PasI5WM%253A%3BS24H-C_xfjYcUM%3Bhttp%253A%252F%252Fscimathmn.org%252Fstemtc%252Fsites%252Fdefault%252Ffiles%252Fimages%252Fframeworks%252Fmath%252F8.1.1A%252Fimage131.jpg%3Bhttp%253A%252F%252Fscimathmn.org%252Fstemtc%252Fframeworks%252F811a-rational-irrational-real-numbers%3B866%3B386

Answer 3

Look at this picture, it's clear enough.

Answer 4

A. SQR54, 5/14, 10.1212, 10/13
B. SQR19, PI, 13.4, 1.89123
C. SQR16, 1/17, 15.4 (4 repeatedly), SQR 49
D. SQR 12, PI, SQR 40. 3.51001

Answer 5

By the way, dear user, you can put up a √ symbol the following way.

1) Click and Hold ALT
2) Click 2 5 1 (click the numbers on the right of the keyboard, not the ones above)
3) Release ALT

Answer 6

Cool, Did not know that. thanks.

Answer 7

Well, can you exclude any choices?

Look at the choice C.
\[Hint:~16=4^2\]

Answer 8

so that one is out because it is a perfect square. also because 7^2 is 49

Answer 9

\[Also,~√49~is~rational,~\it~=7\]

Answer 10

Yes, so C is not going to be the option we choose.

Answer 11

Oh, ok. But how can you tell if a fraction is irrational? Do you square it?

Answer 12

fractions are all rational:) Decimals are rational and irrational.

For choice A ask yourself the following question:
is repeating decimal a rational or irrational number?

For choice B ask
is 13.4 rational? (doesn't look like decimal should be going further, looks like it's the only decimal)

Answer 13

Oh my goodness, I am so crazy... the 4 is repeated.

Answer 14

So that leaves D because irrational decimals do not repeat?

Answer 15

In choice C it's repeated, and repeated decimal is rational, for example if you say 0.3333... (repeatedly) that would be just 1/3. So repeating decimal is rational. Also we already excluded choice C because it has 2 perfect squares...

B is also rational b/c of "13.4" So.. YEAH, CORRECT, it's D.

Answer 16

have a good one:)

Answer 17

In choice C it's repeated, and repeated decimal is rational, for example if you say 0.3333... (repeatedly) that would be just 1/3. So repeating decimal is rational. Also we already excluded choice C because it has 2 perfect squares...

B is also rational b/c of "13.4" So.. YEAH, CORRECT, it's D.

Answer 18

fractions are all rational:) Decimals are rational and irrational.

For choice A ask yourself the following question:
is repeating decimal a rational or irrational number?

For choice B ask
is 13.4 rational? (doesn't look like decimal should be going further, looks like it's the only decimal)

Answer 19

Thank you so MUCH!!!

Answer 20

Especially for explaining it so now I can figure it all out for myself!