Solve 2sqrt{2}+3sqrt{2}+4-sqrt{2}-5sqrt{2}=

$$2 \sqrt { 2 } + 3 \sqrt { 2 } + 4 - \sqrt { 2 } - 5 \sqrt { 2 } =$$

Evaluate

$$4-\sqrt{2}\approx 2.585786438$$

Solution Steps

Combine 2\sqrt{2} and 3\sqrt{2} to get 5\sqrt{2}.

$$5\sqrt{2}+4-\sqrt{2}-5\sqrt{2}$$

Combine 5\sqrt{2} and -\sqrt{2} to get 4\sqrt{2}.

$$4\sqrt{2}+4-5\sqrt{2}$$

Combine 4\sqrt{2} and -5\sqrt{2} to get -\sqrt{2}.

$$-\sqrt{2}+4$$