Solve sqrt{8y}=1/2quadY=

$$\sqrt { 8 y } = \frac { 1 } { 2 } \quad Y =$$

Solve for y

$$y=\frac{Y^{2}}{32}$$

$$Y\geq 0$$

Steps for Solving Radical Equations

Square both sides of the equation.

$$8y=\frac{Y^{2}}{4}$$

Divide both sides by 8.

$$\frac{8y}{8}=\frac{Y^{2}}{4\times 8}$$

Dividing by 8 undoes the multiplication by 8.

$$y=\frac{Y^{2}}{4\times 8}$$

Divide \frac{Y^{2}}{4} by 8.

$$y=\frac{Y^{2}}{32}$$

Solve for Y (complex solution)

$$Y=4\sqrt{2y}$$

Solve for y (complex solution)

$$y=\frac{Y^{2}}{32}$$

$$arg(Y)<\pi \text{ or }Y=0$$

Solve for Y

$$Y=4\sqrt{2y}$$

$$y\geq 0$$