# How do you solve #(sqrt6) - sqrt(3/2)#?

##### 1 Answer

Break the fraction under the square root sign into separate square roots, then find the common denominator and eventually get to

#### Explanation:

In order to subtract the fraction from the square root term, we need to have a common denominator.

Let's start with the given equation:

The key here is that the one term has a integer under the root sign and the other has a fraction. We can fix that by first taking the fraction under the square root and breaking it down into parts, like this:

And now we can multiply the first term by a creative form of 1 (i.e.

And we can clean this up to get rid of the square root in the denominator: