Solve sqrt{frac{m/2}*3}{7}=5

$$\frac { \sqrt { \frac { m } { 2 } } \times 3 } { 7 } = 5$$

Solve for m

$$m = \frac{2450}{9} = 272\frac{2}{9} \approx 272.222222222$$

Steps for Solving Radical Equations

Multiply both sides by 7.

$$3\sqrt{\frac{m}{2}}=5\times 7$$

Multiply 5 and 7 to get 35.

$$3\sqrt{\frac{m}{2}}=35$$

Divide both sides by 3.

$$\sqrt{\frac{m}{2}}=\frac{35}{3}$$

Square both sides of the equation.

$$\frac{1}{2}m=\frac{1225}{9}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}m}{\frac{1}{2}}=\frac{\frac{1225}{9}}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$m=\frac{\frac{1225}{9}}{\frac{1}{2}}$$

Divide \frac{1225}{9} by \frac{1}{2} by multiplying \frac{1225}{9} by the reciprocal of \frac{1}{2}.

$$m=\frac{2450}{9}$$