Solve operatorname{tag}=sqrt{frac{(sqrt{frac{sqrt{2}}{2}})^2}{sqrt{2}}}

$$\operatorname { tag } = \sqrt { \frac { ( \sqrt { \frac { \sqrt { 2 } } { 2 } } ) ^ { 2 } } { \sqrt { 2 } } }$$

Solve for a

$$a=\frac{\sqrt{2}}{2gt}$$

$$g\neq 0\text{ and }t\neq 0$$

Steps for Solving Linear Equation

Calculate \sqrt{\frac{\sqrt{2}}{2}} to the power of 2 and get \frac{\sqrt{2}}{2}.

$$tag=\sqrt{\frac{\frac{\sqrt{2}}{2}}{\sqrt{2}}}$$

Express \frac{\frac{\sqrt{2}}{2}}{\sqrt{2}} as a single fraction.

$$tag=\sqrt{\frac{\sqrt{2}}{2\sqrt{2}}}$$

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

$$tag=\sqrt{\frac{\sqrt{2}\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}}$$

The square of \sqrt{2} is 2.

$$tag=\sqrt{\frac{\sqrt{2}\sqrt{2}}{2\times 2}}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$tag=\sqrt{\frac{2}{2\times 2}}$$

Multiply 2 and 2 to get 4.

$$tag=\sqrt{\frac{2}{4}}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$tag=\sqrt{\frac{1}{2}}$$

Rewrite the square root of the division \sqrt{\frac{1}{2}} as the division of square roots \frac{\sqrt{1}}{\sqrt{2}}.

$$tag=\frac{\sqrt{1}}{\sqrt{2}}$$

Calculate the square root of 1 and get 1.

$$tag=\frac{1}{\sqrt{2}}$$

Rationalize the denominator of \frac{1}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$tag=\frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$tag=\frac{\sqrt{2}}{2}$$

Multiply both sides of the equation by 2.

$$2tag=\sqrt{2}$$

The equation is in standard form.

$$2gta=\sqrt{2}$$

Divide both sides by 2tg.

$$\frac{2gta}{2gt}=\frac{\sqrt{2}}{2gt}$$

Dividing by 2tg undoes the multiplication by 2tg.

$$a=\frac{\sqrt{2}}{2gt}$$

Solve for g

$$g=\frac{\sqrt{2}}{2at}$$

$$a\neq 0\text{ and }t\neq 0$$

Steps for Solving Linear Equation

Calculate \sqrt{\frac{\sqrt{2}}{2}} to the power of 2 and get \frac{\sqrt{2}}{2}.

$$tag=\sqrt{\frac{\frac{\sqrt{2}}{2}}{\sqrt{2}}}$$

Express \frac{\frac{\sqrt{2}}{2}}{\sqrt{2}} as a single fraction.

$$tag=\sqrt{\frac{\sqrt{2}}{2\sqrt{2}}}$$

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

$$tag=\sqrt{\frac{\sqrt{2}\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}}$$

The square of \sqrt{2} is 2.

$$tag=\sqrt{\frac{\sqrt{2}\sqrt{2}}{2\times 2}}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$tag=\sqrt{\frac{2}{2\times 2}}$$

Multiply 2 and 2 to get 4.

$$tag=\sqrt{\frac{2}{4}}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$tag=\sqrt{\frac{1}{2}}$$

Rewrite the square root of the division \sqrt{\frac{1}{2}} as the division of square roots \frac{\sqrt{1}}{\sqrt{2}}.

$$tag=\frac{\sqrt{1}}{\sqrt{2}}$$

Calculate the square root of 1 and get 1.

$$tag=\frac{1}{\sqrt{2}}$$

Rationalize the denominator of \frac{1}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$tag=\frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$tag=\frac{\sqrt{2}}{2}$$

Multiply both sides of the equation by 2.

$$2tag=\sqrt{2}$$

The equation is in standard form.

$$2atg=\sqrt{2}$$

Divide both sides by 2ta.

$$\frac{2atg}{2at}=\frac{\sqrt{2}}{2at}$$

Dividing by 2ta undoes the multiplication by 2ta.

$$g=\frac{\sqrt{2}}{2at}$$