Question

Need help figuring out Rational number and irrational numbers

Answer 1

\[\sqrt{49}\]

\[\sqrt{\frac{ 1 }{ 8 }}\]

\[\sqrt{12}\]

\[\frac{ 19 }{ 5 }\]

\[\sqrt{\frac{ 4 }{ 25 }}\]

0.3425563758

0.6--------------------------------->

Answer 2

Rational or Irrational?

Answer 3

Nothing more than figuring out which are rational and which are irrational. My guess was:

Answer 4

1. Rational
2. Rational
3. Rational
4.Irrational
5.Irrational
6.Irrational
7.Irrational

Answer 5

Okay so:
Recall that

Rational Numbers ---
Any whole number that can be written as a fraction

Irrational Numbers ---
Any number that isn't rational basically... includes repeating decimals & nth roots that are not perfect nth roots

Answer 6

Sunshine strong lady! Noooo :O

repeating decimal is rational :D
I mean if the decimal repeats a pattern that is.

Answer 7

hahah oh oops XD

Answer 8

@zepdrix what do you think about OP's answers?

Answer 9

1, 2, 5 & 7 are rational?

Answer 10

^^ I disagree with 2,3,4 & 7.....

Answer 11

@Troy121101
For number 2:
\[\sqrt{\frac{ 1 }{ 8 }}\]

Clearly irrational

Answer 12

Number 3 too... because it isn't a perfect square root.

Answer 13

Number 4 -->

Definitely rational
\[\frac{ 19 }{ 5 }\]

Answer 14

#'s 2, 3, & 6 are marked Irrational, and #' 1 is marked Rational

Answer 15

7 is rational, yes :)

.6666... has a repeating pattern and therefore we know it can be written as a ratio of whole numbers. More precisely it is 2/3.

Answer 16

#'s 5 & 7 are unmarked, 7 about to be rational, leaving #5

Answer 17

\[\large\rm \sqrt{\frac{4}{25}}\quad=\quad \frac{\sqrt4}{\sqrt{25}}\]In order for this to be rational, sqrt4 and sqrt25 must both be whole numbers.
Are 4 and 25 perfect squares?

Answer 18

yes they are, 2 * 2 = 4 and 5 * 5 = 25, so \[\sqrt{\frac{ 4 }{ 25 }}\] is rational?

Answer 19

@zepdrix ?

Answer 20

yes good job :)

Answer 21

Hey! Thank you and @sunnnystrong for your help!

Answer 22

idk how to give both of you medals...