SOLUTION: I just need to make sure my answers are correct for this problem: Tell whether the following numbers are irrational or rational. 1. 37 Answer:Rational 2.√5 Answer:Irration

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Question 723237: I just need to make sure my answers are correct for this problem:
Tell whether the following numbers are irrational or rational.
1. 37 Answer:Rational 2.√5 Answer:Irrational 3.√9 Answer:Rational 4.6π Answer: Irrational 5.2/3 Answer: Rational 6. .2222.... Answer:Irrational 7√25 Answer: Rational 8.3√25 (3 is a power) Answer: Irrational
9. 12.45 Answer: Rational 10. 2.61794 Answer: Rational 11. .303030....... Answer: Irrational 12.√12 Answer: Irrational
13. √1/2 Answer: Irrational 14.3√125 Answer: Irrational 15. 1+√2 Answer: Irrational

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!

I believe problem number 8 was root%283%2C25%29 , which is irrational.
I believe problem number 14 may be root%283%2C125=5%29 , which is rational, but if it was 3sqrt%28125%29 , then it is irrational
0.2222.... = 2%2F9 is a rational number
0.303030....= 10%2F33 is a rational number
Irrational numbers generate endless decimals that have no repeating pattern.
Repeating decimals are always rational. To express them as a fraction, you can set up an "equation" and solve it, like this:
x= 0.2222...
10x= 2.2222...
10x-x= 2.2222... - 0.2222... =2
So 10x-x=2 --> 9x=2 --> 9x%2F9=2%2F9 --> highlight%28x=2%2F9%29
y= 0.303030...
100y= 30.303030...
100y-y= 30.303030... - 0.303030... =30
So 100y-y=30 --> 99y=30 --> 99y%2F99=30%2F99 --> y=30%2F99 , which simplifies to highlight%28y=10%2F33%29