Solve -(sqrt{2}+sqrt{3})+(sqrt{2}-2sqrt{3})

$$- ( \sqrt { 2 } + \sqrt { 3 } ) + ( \sqrt { 2 } - 2 \sqrt { 3 } )$$

Evaluate

$$-3\sqrt{3}\approx -5.196152423$$

Solution Steps

To find the opposite of \sqrt{2}+\sqrt{3}, find the opposite of each term.

$$-\sqrt{2}-\sqrt{3}+\sqrt{2}-2\sqrt{3}$$

Combine -\sqrt{2} and \sqrt{2} to get 0.

$$-\sqrt{3}-2\sqrt{3}$$

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

$$-3\sqrt{3}$$