Given the expression:

The first step to solve it using the square root property, is moving the coefficient on the right side of the equation to the left side, changing it's sign:

Now, remember the rule for conjugates:

in this case we have the following:
![\begin{gathered} y^2=a^2 \\ \Rightarrow y=a \\ b^2=6 \\ \Rightarrow b=\sqrt[]{6} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/hsppeppe7yy5sdq67crtiwqqx6txxslu2z.png)
therefore, we can factor the expression like this:
![\begin{gathered} y^2-6=0 \\ \Rightarrow(y-\sqrt[]{6})(y+\sqrt[]{6})=0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/s1fk5mpcyt2lm00z2wj93l7mhpvqemcf5f.png)
Finally, we have that the only values that make true the expression are:
![\begin{gathered} y_1=\sqrt[]{6} \\ y_2=-\sqrt[]{6} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/omchnrqygk0ywrh2qzniyh7br4j2b0bkel.png)