Question

How do you simplify 5/ square root of 6?

Answer 1

`=(5sqrt6)/6` (rationalized denominator)
or
`~~2.04` (decimal form, rounded to nearest hundredth's place)

Explanation:

First, let's translate this into math:

`5/sqrt6`

To simplify this, we need to rationalize, or simplify the denominator so that it only contains rational numbers. To do so, multiply both the numerator and denominator by `color(blue)sqrt6`:
`5/sqrt6 color(blue)(*sqrt6/sqrt6)`

`=(5sqrt6)/sqrt36`

`=(5sqrt6)/6`

The answer in decimal form (rounded to nearest hundredth's place) is `~~2.04`.

Hope this helps!