Question

Simplify the expression. 8/√6 -√3

Answer 1

I'm not sure which form you wanted it simplified in, but my answers are below!

Explanation:

`(8)/(√(6))-√(3)`

The first step is to simplify the first term, since you shouldn't have square roots in the denominator. To do this, you can multiply both the top and bottom of the fraction by
`√(6)`, which doesn't change anything because it is the same as multiplying by a weird version of 1.

`(8)/(√(6))\cdot (√(6))/(√(6))-√(3)=\\(8√(6))/(6)-√(3)=\\(4√(6))/(3)-√(3)`

You can now give the second term a common denominator to the first by multiplying it by
`(3)/(3)`:

`(4√(6))/(3)-√(3)\cdot (3)/(3)=\\(4√(6)-3√(3))/(3)`