Solve sqrt{7g^2x}=1

$$\sqrt { 7 g ^ { 2 } x } = 1$$

Solve for x

$$x=\frac{1}{7g^{2}}$$

$$g\neq 0$$

Steps for Solving Radical Equations

Square both sides of the equation.

$$7g^{2}x=1$$

Divide both sides by 7g^{2}.

$$\frac{7g^{2}x}{7g^{2}}=\frac{1}{7g^{2}}$$

Dividing by 7g^{2} undoes the multiplication by 7g^{2}.

$$x=\frac{1}{7g^{2}}$$

Solve for g (complex solution)

$$g=-\frac{\sqrt{7}x^{-\frac{1}{2}}}{7}$$

$$g=\frac{\sqrt{7}x^{-\frac{1}{2}}}{7}\text{, }x\neq 0$$

Solve for g

$$g=\frac{\sqrt{\frac{7}{x}}}{7}$$

$$g=-\frac{\sqrt{\frac{7}{x}}}{7}\text{, }x>0$$