Question

If x = 5, y = 6, and z= 2, is V x2 + y2 + z2 + 50
rational or irrational? Explain.

Answer 1

irrational

Explanation:

because

5² + 6² + 2² + 50 = 25+36+4+50 = 115

and 115 is not a squared integer or rational number, so that sqrt(115) is one of these numbers with infinite digits after the decimal point but without any repeating pattern.

and that is per definition irrational.