Is the square root of 2.5 an irrational number ?

Science & Mathematics by Anonymous 2018-05-25 21:36:46

Social Science

3 answers

I get confused between rational and irrational numbers, please help as I have a test tomorrow.

Anonymous

Yes. The square root of 2.5 is irrational. sqrt(2.5) = sqrt(5/2) = sqrt(5)/sqrt(2) = sqrt(10)/2. sqrt(10) is irrational, and irrational divided by rational is irrational.
Anonymous

Yes. Reason 2.5 = 5/2 = 10/4, so its square root is √10 / 2 = (1/2) √10. Since √10 is irrational (because 10 is not a perfect square), so is (1/2)√10.
Anonymous

No, it's pretty rational. If not, your calculator would smoke and flip over.