Solve {l}{a=3sqrt{2}}{b=2sqrt{2}}{c=ab}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { a = 3 \sqrt{2} }\\ { b = 2 \sqrt{2} }\\ { c = a b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Solve for a, b, c, d

$$d=12$$

Solution Steps

Consider the third equation. Insert the known values of variables into the equation.

$$c=3\sqrt{2}\times 2\sqrt{2}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$c=3\times 2\times 2$$

Multiply 3 and 2 to get 6.

$$c=6\times 2$$

Multiply 6 and 2 to get 12.

$$c=12$$

Consider the fourth equation. Insert the known values of variables into the equation.

$$d=12$$

The system is now solved.

$$a=3\sqrt{2} b=2\sqrt{2} c=12 d=12$$