SOLUTION: is the sqrt of 77 rational or irrational?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: is the sqrt of 77 rational or irrational?      Log On


   



Question 85960: is the sqrt of 77 rational or irrational?
Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
77 = 7 x 11
sqrt%2877%29=sqrt%287%29%2Asqrt%2811%29
sqrt%287%29 is irrational as is sqrt%2811%29
The product of two irrational numbers will itself be irrational.
So sqrt%2877%29 will be irrational.