Solve b=6/sqrt{6}-frac{2sqrt{6}}{sqrt{6}}

$$b = \frac { 6 } { \sqrt { 6 } } - \frac { 2 \sqrt { 6 } } { \sqrt { 6 } }$$

Solve for b

$$b=\sqrt{6}-2\approx 0.449489743$$

Steps for Solving Linear Equation

Rationalize the denominator of \frac{6}{\sqrt{6}} by multiplying numerator and denominator by \sqrt{6}.

$$b=\frac{6\sqrt{6}}{\left(\sqrt{6}\right)^{2}}-\frac{2\sqrt{6}}{\sqrt{6}}$$

The square of \sqrt{6} is 6.

$$b=\frac{6\sqrt{6}}{6}-\frac{2\sqrt{6}}{\sqrt{6}}$$

Cancel out 6 and 6.

$$b=\sqrt{6}-\frac{2\sqrt{6}}{\sqrt{6}}$$

Rationalize the denominator of \frac{2\sqrt{6}}{\sqrt{6}} by multiplying numerator and denominator by \sqrt{6}.

$$b=\sqrt{6}-\frac{2\sqrt{6}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$$

The square of \sqrt{6} is 6.

$$b=\sqrt{6}-\frac{2\sqrt{6}\sqrt{6}}{6}$$

Multiply \sqrt{6} and \sqrt{6} to get 6.

$$b=\sqrt{6}-\frac{2\times 6}{6}$$

Multiply 2 and 6 to get 12.

$$b=\sqrt{6}-\frac{12}{6}$$

Divide 12 by 6 to get 2.

$$b=\sqrt{6}-2$$

Assign b

$$b≔\sqrt{6}-2$$