## Elementary Algebra

We simplify the expression by factoring out $\sqrt 2$ as it is a part of all of the terms in the expression: $3\sqrt 2-5\sqrt 2+\sqrt 2$ =$\sqrt 2(3-5+1)$ =$\sqrt 2(-2+1)$ =$\sqrt 2(-1)$ =$-\sqrt 2$ The expression does indeed reduce to $-\sqrt 2$.