Question

How do you simplify `14/sqrt 11`?

Answer 1

`color(blue)((14sqrt11)/11)`

Explanation:

Since the given has an irrational deminator, Square Roots are not allowed in the denominator, we must rationalize the denominator.

`a/sqrtb = a/sqrtb * sqrtb/sqrtb = (asqrtb)/b`

where `a>0, b>0, c>0`

we can simply rationalize the denominator by simply multiplying the top and bottom by `sqrt11`.
`(14/sqrt11)*sqrt11/sqrt11 = (14sqrt11)/11`

So the answer is:

`(14sqrt11)/11`