Question

How do you simplify `sqrt80 / sqrt5`?

Answer 1

`sqrt16 = 4`

Explanation:

Neither 80 nor 5 are square numbers. There are two options:

First method: When we are dividing with square roots, we can combine the two roots into one and then simplify.
`sqrt80/sqrt5 = sqrt(80/5)`

`sqrt(80/5) = sqrt16 = 4`

Second method Write 80 as a product of factors,
Note that `80 = 16 xx 5`

`sqrt80/sqrt5 = sqrt(16xx5)/sqrt5" separate into two roots"`

`(sqrt16 xx sqrt5)/sqrt5 " " = sqrt16 = 4`