SOLUTION: please help with the following Determine whether the number is rational or irrational. If it is irrational, find two consecutive integers which its graph lies on the number line

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Question 59835This question is from textbook Alegbra Concepts and applications
: please help with the following
Determine whether the number is rational or irrational. If it is irrational, find two consecutive integers which its graph lies on the number line.
square root 67
This question is from textbook Alegbra Concepts and applications

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The sqrt%2867%29 would be rational if you could find an integer whose square is 67.
Let's see...
8%5E2+=+64 Nope! Too small!
9%5E2+=+81 Nope! Too large!
The answer is sqrt%2867%29+=+8.18535277187 (approx.) is irrational.
The second part of the problem is answered above.
Find two consecutive integers between which sqrt%2867%29 lies on the number line.
8+%3C+sqrt%2867%29+%3C9+