Question

How do you simplify `sqrt 8/ sqrt3`?

Answer 1

To answer is this: `sqrt(8)/(sqrt3)*sqrt(3)/(sqrt(3))=(sqrt8*sqrt3)/3=(sqrt24)/3`

Explanation:

In this question, since you do not want square root functions as the divisors, you multiply the top and bottom by the square root divisor at the bottom.

In this case, `sqrt(3)`. After multiplying the top and bottom by `sqrt(3)`, you will remove the square root term from the bottom and as such getting you only `3`, but the top will be `sqrt 8 * sqrt 3`, which is `sqrt 24`.

In your final answer, it will then become `sqrt(24)/ 3`.

Answer 2

`(2sqrt6)/3`

Explanation:

rationalise the denominator, by multiplying by `sqrt3:`

`(sqrt3 * sqrt8)/(sqrt3 * sqrt3)`

`= (sqrt24)/3`

`sqrt24 = sqrt4 * sqrt6`

`= 2 * sqrt6 = 2sqrt6`

`(sqrt24)/3 = (2sqrt6)/3`