Question

How is it possible to simplify 2 divided by (the square root of 6)? My calculator says that it is equal to (the square root of 6) divided by 3, but I would like to know how to find that.

Answer 1

`\boxed{(√(6))/(3)}`

Explanation:

Multiply the fraction by
`(√(6))/(√(6))`

`(2)/(√(6)) * (√(6))/(√(6)) = (2√(6))/(6)\\`

Cancel the 2s

`(2√(6))/(6)= (√(6))/(3)`

∴
`\boxed{(2)/(√(6)) = (√(6))/(3)}`