Answer:
[tex]\frac{6}{\sqrt 2}= 3\sqrt 2[/tex]
Step-by-step explanation:
Given
[tex]\frac{6}{\sqrt 2}[/tex]
Required
Rationalize
[tex]\frac{6}{\sqrt 2}[/tex]
To do this, we simply multiply by [tex]\frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\frac{6}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
This gives:
[tex]\frac{6 * \sqrt 2}{\sqrt 2 * \sqrt 2}[/tex]
[tex]\frac{6 \sqrt 2}{2 }[/tex]
[tex]3\sqrt 2[/tex]
Hence:
[tex]\frac{6}{\sqrt 2}= 3\sqrt 2[/tex]
