Solve y=1/sqrt{frac{1{2}}}

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

Solve for y

$$y=\sqrt{2}\approx 1.414213562$$

Steps for Solving Linear Equation

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

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

Calculate the square root of 1 and get 1.

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

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

$$y=\frac{1}{\frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}}$$

The square of \sqrt{2} is 2.

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

Divide 1 by \frac{\sqrt{2}}{2} by multiplying 1 by the reciprocal of \frac{\sqrt{2}}{2}.

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

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

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

The square of \sqrt{2} is 2.

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

Cancel out 2 and 2.

$$y=\sqrt{2}$$

Assign y

$$y≔\sqrt{2}$$