Solve xB=sqrt{10/7}

$$x B = \sqrt { \frac { 10 } { 7 } }$$

Solve for B

$$B=\frac{\sqrt{70}}{7x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Rewrite the square root of the division \sqrt{\frac{10}{7}} as the division of square roots \frac{\sqrt{10}}{\sqrt{7}}.

$$xB=\frac{\sqrt{10}}{\sqrt{7}}$$

Rationalize the denominator of \frac{\sqrt{10}}{\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.

$$xB=\frac{\sqrt{10}\sqrt{7}}{\left(\sqrt{7}\right)^{2}}$$

The square of \sqrt{7} is 7.

$$xB=\frac{\sqrt{10}\sqrt{7}}{7}$$

To multiply \sqrt{10} and \sqrt{7}, multiply the numbers under the square root.

$$xB=\frac{\sqrt{70}}{7}$$

Multiply both sides of the equation by 7.

$$7xB=\sqrt{70}$$

Divide both sides by 7x.

$$\frac{7xB}{7x}=\frac{\sqrt{70}}{7x}$$

Dividing by 7x undoes the multiplication by 7x.

$$B=\frac{\sqrt{70}}{7x}$$

Solve for x

$$x=\frac{\sqrt{70}}{7B}$$

$$B\neq 0$$

Steps for Solving Linear Equation

Rewrite the square root of the division \sqrt{\frac{10}{7}} as the division of square roots \frac{\sqrt{10}}{\sqrt{7}}.

$$xB=\frac{\sqrt{10}}{\sqrt{7}}$$

Rationalize the denominator of \frac{\sqrt{10}}{\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.

$$xB=\frac{\sqrt{10}\sqrt{7}}{\left(\sqrt{7}\right)^{2}}$$

The square of \sqrt{7} is 7.

$$xB=\frac{\sqrt{10}\sqrt{7}}{7}$$

To multiply \sqrt{10} and \sqrt{7}, multiply the numbers under the square root.

$$xB=\frac{\sqrt{70}}{7}$$

Multiply both sides of the equation by 7.

$$7xB=\sqrt{70}$$

The equation is in standard form.

$$7Bx=\sqrt{70}$$

Divide both sides by 7B.

$$\frac{7Bx}{7B}=\frac{\sqrt{70}}{7B}$$

Dividing by 7B undoes the multiplication by 7B.

$$x=\frac{\sqrt{70}}{7B}$$