Question

Help medal given
How many ordered triples (x,y,z) of integers are there such that \sqrt{x^2 + y^2 + z^2} = 7? Does the question have a geometric interpretation?

By geometric interpretation we mean, "Is there a picture that describes the question?"

Answer 1

@e.mccormick

Answer 2

the geometric interpretation is, first square both sides , you get
x^2 + y^2 + z^2 =7^2 , this is an equation of a sphere with radius 7