Given the expression:
[tex]\frac{10}{\sqrt[]{2}}[/tex]
we can rationalize it by multiplying by sqrt(2)/sqrt(2) to get the following:
[tex]\frac{10}{\sqrt[]{2}}\cdot\frac{\sqrt[]{2}}{\sqrt[]{2}}=\frac{10\cdot\sqrt[]{2}}{2}[/tex]
simplifying, we get:
[tex]\frac{10\cdot\sqrt[]{2}}{2}=5\cdot\sqrt[]{2}[/tex]
therefore, the equivalent expression is 5*sqrt(2)
