Question

Question content area top
Part 1
If xequals​5, yequals​6, and zequals​2, is StartRoot x squared plus y squared plus z squared plus 50 EndRoot rational or​ irrational? Explain.
Question content area bottom
Part 1
When xequals​5, yequals​6, and zequals​2, StartRoot x squared plus y squared plus z squared plus 50 EndRootequalsStartRoot nothing EndRoot
  
​, which is
▼
an irrational
a rational
number.
​(Simplify your​ answer.)

Answer 1

x^2+y^2+z^2+50 = 5^2+6^2+2^2+50 = 25+36+4+50 = 115, so the expression is √115.

115 = 5·23 is not a perfect square, so √115 is irrational.