Question

How do you simplify `(1/sqrt3) + (1/sqrt2)`?

Answer 1

`(2sqrt(3)+3sqrt(2))/6`

Explanation:

Start by multiplying the top and bottom of both fractions by `sqrt(3)` and `sqrt(2)` respectively. This rationalizes the denominator, making it easier to work with the fractions.
`(sqrt(3)/3)+(sqrt(2)/2)`
Next, multiply the top and bottom of both fractions by `2` and `3` respectively. This creates a common denominator and allows for the combination of the two terms.
`((2sqrt(3))/6)+((3sqrt(2))/6)`
Adding them together yields:
`(2sqrt(3)+3sqrt(2))/6`