Determine whether the number is rational or irrational. If it is irrational, find two consecutive integers between which its graph lies on the number line. - square root 81
2007-08-03 09:25:24 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
well, square roots of natural numbers aren't rational unless the the number is a perfect square. Does 81 happen to meet that definition or not? A quick test would be to enter 81 in your calculator and ask it for a square root. If you get a value that stays on the screen, it's rational. If you get a value that runs off the screen, it is probably irrational (unless you can see a repetition).
2007-08-03 09:28:56 · answer #1 · answered by lockedjew 5 · 0⤊ 0⤋
-√81 = -9. That's a rational number.
Note to those above claiming the square root of 81 is either 9 or -9, grab a calculator. It's 9, and 9 only. You're probably confusing this with the equation x² = 81, which does have the two solutions, but a square root of any positive number is always positive.
2007-08-03 09:29:36 · answer #2 · answered by Anonymous · 0⤊ 0⤋
the square root of 81 is rational since it comes out to two integers, -9 and 9. Irrational would be like the square root of 33, you cannot simplify it any further because the answer would come out somewhere around 5.7 (no calculator around). Hope that helped!
2007-08-03 09:29:31 · answer #3 · answered by yankeesrus07 2 · 0⤊ 0⤋
sqrt 81 = +/- 9 so it is rational and a positive and a negative integer.
2007-08-03 09:34:25 · answer #4 · answered by ironduke8159 7 · 0⤊ 0⤋
It's -9
2007-08-03 09:29:12 · answer #5 · answered by Happy 3 · 0⤊ 0⤋