does √c + e = √(c + e^2) (1 Viewer)

[open windows]

Would
√c + e
be the same as
√(c + e^2) ?

And can anyone explain why.

 

[Mark576]

Square both sides:
LHS = c+2e√c+e²
RHS = c+e²
=> From this we can conclude: LHS ≠ RHS ∴ √LHS ≠ √RHS, where e≠0, c≠0. Unless of course e is standing for Euler's number, in which case the situation is never true, for all c>0.

 

[YannY]

Another simple way that involves not much logic to it is by subbing in random numbers and see if they equate i.e let e=1 and c=2 etc.

 

[open windows]

okay, cool thanks.

 

[Slidey]

Would
√c + e
be the same as
√(c + e^2) ?

And can anyone explain why.

This is called additivity. It's one of the two basic properties of any linear map.

And no, the square root function isn't additive, thus it isn't a linear function.

 

[PC]

Think of Pythagoras' rule.

Just because c² = a² + b², it doesn't follow that c = a + b.

 

[happii]

Square both sides:
LHS = c+2e√c+e²
RHS = c+e²
=> From this we can conclude: LHS * RHS ∴ √LHS * √RHS, where e*0, c*0. Unless of course e is standing for Euler's number, in which case the situation is never true, for all c>0.

this is general maths buddy, not 4 unit