|
Question 100106: Determine if sqrt 77 and sqrt(-)are irrational or rational.
I said that 77 was because it could be 77/1, however that would only be 77, so now I have changed my mind. I say sqrt77 is irrational.
Sqrt(-)is not a real number, so haw can it be rational, So I say it is also irrational. Am I correct or no?
I completely do not understand the irrational and rational problems. I have read all that has been answered on here trying to comprehend the rules of them. This is not a problem out of my book, however I have enclosed the book I have been working from.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Sqrt(77) is irrational because 77 is not a perfect square.
sqrt(-1) is neither rational or irrational; it is imaginary.
-------------------
The Real Numbers set is made up of the rational numbers and
the Irrational numbers. Rationals are numbers that can be
written as a ratio of two integers such as 3, 2/3, 5%, 0.123
etc.
Irrationals cannot be written as a ratio of integers such as
sqrt2, cube root of 5, pi, 0.12345678.....endlessly
------------
Another way to describe irrational numbers is that they do not
have a repeating decimal form. So 0.292929292...is rational
but 0.299229992992229999922....is irrational
===============
Cheers,
Stan H.
|
|
|
| |
