Question 176293
Just to clarify, the problem is:
{{{4sqrt(3)/sqrt(12)}}}
Note that sqrt(3) is as simplified as its going to get, so let's concern ourselves with sqrt(12).  Now, 12 can be written as 4*3, so that means that
{{{sqrt(12)=sqrt(4*3)}}}
The properties of square roots tell us that sqrt(ab)=sqrt(a)sqrt(b), so
{{{sqrt(12)=sqrt(4*3)=sqrt(4)sqrt(3)}}}
But sqrt(4)=2, so we can replace that, and thus we have
{{{4sqrt(3)/sqrt(12)=4sqrt(3)/(2sqrt(3))}}}
Now, 4/2=2, and the sqrt(3)'s cancel out, so all we are left with is 2!!