How do you solve #(sqrt6) - sqrt(3/2)#?
Break the fraction under the square root sign into separate square roots, then find the common denominator and eventually get to
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: