Solve qI=sqrt{1/16+1/16+1/16}

$$q I = \sqrt { \frac { 1 } { 16 } + \frac { 1 } { 16 } + \frac { 1 } { 16 } }$$

Solve for I

$$I=\frac{\sqrt{3}}{4q}$$

$$q\neq 0$$

Steps for Solving Linear Equation

Add \frac{1}{16} and \frac{1}{16} to get \frac{1}{8}.

$$qI=\sqrt{\frac{1}{8}+\frac{1}{16}}$$

Add \frac{1}{8} and \frac{1}{16} to get \frac{3}{16}.

$$qI=\sqrt{\frac{3}{16}}$$

Rewrite the square root of the division \sqrt{\frac{3}{16}} as the division of square roots \frac{\sqrt{3}}{\sqrt{16}}.

$$qI=\frac{\sqrt{3}}{\sqrt{16}}$$

Calculate the square root of 16 and get 4.

$$qI=\frac{\sqrt{3}}{4}$$

Multiply both sides of the equation by 4.

$$4qI=\sqrt{3}$$

Divide both sides by 4q.

$$\frac{4qI}{4q}=\frac{\sqrt{3}}{4q}$$

Dividing by 4q undoes the multiplication by 4q.

$$I=\frac{\sqrt{3}}{4q}$$

Solve for q

$$q=\frac{\sqrt{3}}{4I}$$

$$I\neq 0$$

Steps for Solving Linear Equation

Add \frac{1}{16} and \frac{1}{16} to get \frac{1}{8}.

$$qI=\sqrt{\frac{1}{8}+\frac{1}{16}}$$

Add \frac{1}{8} and \frac{1}{16} to get \frac{3}{16}.

$$qI=\sqrt{\frac{3}{16}}$$

Rewrite the square root of the division \sqrt{\frac{3}{16}} as the division of square roots \frac{\sqrt{3}}{\sqrt{16}}.

$$qI=\frac{\sqrt{3}}{\sqrt{16}}$$

Calculate the square root of 16 and get 4.

$$qI=\frac{\sqrt{3}}{4}$$

Multiply both sides of the equation by 4.

$$4qI=\sqrt{3}$$

The equation is in standard form.

$$4Iq=\sqrt{3}$$

Divide both sides by 4I.

$$\frac{4Iq}{4I}=\frac{\sqrt{3}}{4I}$$

Dividing by 4I undoes the multiplication by 4I.

$$q=\frac{\sqrt{3}}{4I}$$