How do you simplify #4 sqrt 3 - sqrt 64 + 6 sqrt 27#?
We know that
Now let's rewrite
since we know the square root of 9, we can write it as
Now just a bit of simple multiplication and combining link terms
We can simplify first by solving sqrt since we know it is a perfect square. This leaves:
4sqrt -8 + 6sqrt
Then we need to see if we can simplify the square roots.
4sqrt is as simplified as it gets.
6sqrt can be broken up into factors so:
6sqrt = 6sqrt[3*9]
9 is a perfect square so it can be rooted and brought out side of the square root. This leaves:
So now we have:
4sqrt -8 + 18sqrt
22sqrt - 8