Question

one more question about irrational numbers.

Answer 1

Its is 4
Because Pi, is already stated as an irrational number already. without calculation

Answer 2

I have to figure out if each one is irrational or rational

Answer 3

a rational number can be written as \(a/b\) where a and b are integers

Answer 4

another clue is if you write the number as a decimal, you can predict the digits.
for example, pi is irrational because we have to calculate each digit in its decimal. Knowing pi= 3.14159 does not tell us what the next digit is. (People have calculated this out to millions of digits... no pattern)

on the other hand 1/7 = 0.142857142857142857...
(it keeps repeating 142857...) that means it is rational

Answer 5

almost all "roots" (example sqrt(2) ) are irrational
except for perfect squares such as sqrt(4) = 2.0 (and here we know its decimals.. all 0's)

Answer 6

so if you see a fraction of integers, it is rational
if you see an irrational number times or divided by a nice number, it stays irrational

the only time I can think of to get a rational number from irrationals is if we see
for example,
\[ \frac{\pi}{\pi} = 1 \]

Answer 7

so my answers I got was
1=rational
2=irrational
3=rational
4=irrational

Answer 8

yes, looks good

Answer 9

ok thank you