why does the square root of A^2+B^2 not equal A+B

Question

why does square root of A²+B² does not equal A+B

A and B are random numbers

Answer 1

Lets equate the expressions.

 

√(A² + B²) = A + B

 

 

Square both sides of the equation to undo the radical symbol.

 

A² + B² = (A + B)(A + B)

 

A² + B² ≠ A² + 2AB + B²