How do you simplify #sqrt(20d) + 4sqrt(12d) - 3 sqrt(45d)#?
Write each radicand as the product of its factors and try to find squares wherever possible:
After simplifying, you are left with
First, let's simplify the numbers under the square root.
This can be rewritten as
4 has a square root, so we can pull its square root out of the radical, giving us
Now we do the same thing to
We can't do much with the
After multiplication, we have:
We have two