Solve (3-1/2)-2]^-1div(sqrt{18}-sqrt{8})

$$( 3 - \frac { 1 } { 2 } ) - 2 ] ^ { - 1 } \div ( \sqrt { 18 } - \sqrt { 8 } )$$

Evaluate

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

Solution Steps

Convert 3 to fraction \frac{6}{2}.

$$\frac{6}{2}-\frac{1}{2}-2$$

Since \frac{6}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{2}-2$$

Subtract 1 from 6 to get 5.

$$\frac{5}{2}-2$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{5}{2}-\frac{4}{2}$$

Since \frac{5}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-4}{2}$$

Subtract 4 from 5 to get 1.

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

Factor

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