Answer: [tex]\dfrac{\sqrt{2}}{2}[/tex]
Step-by-step explanation:
Given
The fraction is [tex]\dfrac{2}{2\sqrt{2}}[/tex]
Making denominator a number, multiply and divide by [tex]\sqrt{2}[/tex]
[tex]\Rightarrow \dfrac{2}{2\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}\\\\\Rightarrow \dfrac{2\sqrt{2}}{2\sqrt{2}\times \sqrt{2}}=\dfrac{2\sqrt{2}}{2\sqrt{2\times 2}}\\\\\text{cancel out the common term 2}\\\\\Rightarrow \dfrac{\sqrt{2}}{2}[/tex]
