How can we simplify sqrt(48) - 6/sqrt(3) ?

Observing that 48 = 24 * 2 = 1222 = 443, we can write square root of 48 as being square root of 443, which means that sqrt(48) = 22sqrt(3).Now, we can multiply the new result 22sqrt(3) with sqrt(3) such that we can have a common denominator on the bottom.So, 22sqrt(3)sqrt(3)/sqrt(3) - 6/sqrt(3) = (22*3 - 6)/sqrt(3) = 6/sqrt(3).If we want our answer to look prettier, we can multiply again with sqrt(3) such that the new result could look as 6 * sqrt(3) /3 = 2sqrt(3).