Question

Is √m+n = √m + √n for all values of m and n? Explain why or why not.

Answer 1

Explanation:

√(m + n) = √m + √n

Square both sides:

m + n = m + 2√(mn) + n

Simplify:

0 = 2√(mn)

mn = 0

The equation is only true if either m or n (or both) is 0.