Question

How do you rationalize the denominator and simplify `(sqrtt+7)/(sqrtt-7)`?

Answer 1

`(t+14sqrt(t)+49)/(t-49)`

Explanation:

let's multiply numerator and denominator by the sum `sqrt(t)+7`:

`((sqrt(t)+7)(sqrt(t)+7))/((sqrt(t)-7)(sqrt(t)+7)`
`(t+14sqrt(t)+49)/(t-49)`