So,
A denominator is rationalized when there are no irrational or imaginary numbers in it. Since the square root of 2 is irrational, we just need to multiply the fraction by the square root of 2 over the square root of 2.
[tex] \frac{10}{ \sqrt{2} } [/tex]
Multiply the fraction by the square root of 2 over the square root of 2.
[tex] \frac{10\sqrt{2}}{ \sqrt{2}*\sqrt{2} } [/tex]
Simplify.
[tex] \frac{10\sqrt{2}}{2} [/tex]
[tex]5\sqrt{2}[/tex]
The denominator is now 1, which is a rational number.
