Question

For any integers x and y, √x²+y²=x+y.Find counter example to disprove the given statement.

Answer 1

$\sqrt{ {x}^{2} + {y}^{2} } = x + y$
so this statement can be proved easily

take x=1
y=2

then LHS BE √5 WHILE RHS BE 3

so LHS doesn't equal RHS hence proved statement wrong

Answer 2

$\bold{Answer :}$

Given that,

√(x² + y²) = x + y

Let us take x = 1, y = 2

Then,

L.H.S. = √(1² + 2²)

= √(1 + 4)

= √5

and R.H.S. = x + y

= 1 + 2

= 3

So, √5 ≠ 3

Thus, the given statement isn't always true.

For x = 0, y = 1, the given statement is true.

#$\bold{MarkAsBrainliest}$