Question

How do I tell if square roots are rational or irrational? Simple Please!

Answer 1

Hey! Some square roots come out with an answer that repeats itself forever, this is irrational. A rational square root would have a terminating answer.

Answer 2

Nope that doesn't sound right hang on...

Answer 3

Um...That doesn't tell me how to tell to tell if they're irrational or rational. :)

Answer 4

I don't want to misinform you. Just wait a second. I have to check real quick

Answer 5

A rational number is a number that terminates (0.5 as an example) or repeats in a pattern (1/3 for example). A number is irrational when it doesn't terminate or doesn't repeat with a pattern.

Answer 6

Give me the square root you are working with and I can show you how you can apply it to other problems.

Answer 7

So if I'm taking a test and I wanna know to find out if a square root is rational...what do i do? For example lets use the square root 18. :)

Answer 8

I'm not working on one, I just need to know this. :)

Answer 9

Okay so you know how to square root a number right? What is the square root of 18?

Answer 10

I'm thinking √18 is rational because is can simplify down to 2?

Answer 11

The square root of 18 is this looooonnng number right? It should start out as 4.242.....

Answer 12

√19 would be irrational because I can't simplify it evenly? You know what I mean? Oh, I got it from here....
http://www.mathwarehouse.com/arithmetic/numbers/rational-and-irrational-numbers-with-examples.php

Answer 13

Now based on what I just told you about rational and irrational numbers what do you think the square root of 18 is rational or irrational?

Answer 14

Stick the square root of 18 into a calculator and look at the number

Answer 15

I thought it only was rational if you could simplify it? I have to know this for a test in June and I can't bring a calculator...

Answer 16

Okay lets look at the square root of two? Would you think it is rational or irrational?

Answer 17

Irrational, but I don't know what makes it that....

Answer 18

Yes you are right it is irrational. It is irrational because even though it terminates when you square root 2 it has a non repeating pattern of numbers.

Answer 19

How do you square root it? @JCMMusic

Answer 20

Well what most people do is memorize square roots. Okay think about it this way. A square root is the same thing as a number multiplied by itself to get another number (9 x 9 = 81 so the square root of 81 is 9) Do you think there would be a terminating or non- terminating repetitive number that would give you 2 as your answer?

Answer 21

Nothing times itself will equal too. Tell me if I'm right about these..
√1 Rational
√2 Irrational
√3 Irrational
√4 Rational
√5 Irrational
√6 Rational
√7 Irrational
√8 Rational
√9 Irrational
√10 Rational
√11 Irrational
√12 Rational
√13 Irrational
√14 Rational
√15 Irrational
√16 Rational
√17 Irrational
√18 Rational
√19 Irrational
√20 Rational

@JCMMusic

Answer 22

GOSH! That's a lot of problems hang on this might take a minute.

Answer 23

1. Right
2. Right
3. Right
4. Right
5. Right
6. Wrong
7. Right
8. Wrong
9. Wrong
10. Wrong
11. Right
12. Wrong
13. Right
14. Wrong
15. Right
16. Right
17. Right
18. Wrong
19. Right
20. Wrong

Answer 24

@CrazyCountryGirl