Solve (-1/2)+(-sqrt{2/2})+sqrt{2/2}

$$(- \frac{ 1 }{ 2 } )+(- \sqrt{ \frac{ 2 }{ 2 } } )+ \sqrt{ \frac{ 2 }{ 2 } }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Divide 2 by 2 to get 1.

$$-\frac{1}{2}-\sqrt{1}+\sqrt{\frac{2}{2}}$$

Divide 2 by 2 to get 1.

$$-\frac{1}{2}-\sqrt{1}+\sqrt{1}$$

Calculate the square root of 1 and get 1.

$$-\frac{1}{2}-1+\sqrt{1}$$

Convert 1 to fraction \frac{2}{2}.

$$-\frac{1}{2}-\frac{2}{2}+\sqrt{1}$$

Since -\frac{1}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-2}{2}+\sqrt{1}$$

Subtract 2 from -1 to get -3.

$$-\frac{3}{2}+\sqrt{1}$$

Calculate the square root of 1 and get 1.

$$-\frac{3}{2}+1$$

Convert 1 to fraction \frac{2}{2}.

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

Since -\frac{3}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

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

Add -3 and 2 to get -1.

$$-\frac{1}{2}$$

Factor

$$-\frac{1}{2} = -0.5$$