How do you evaluate 4√112 +5√56 - 9√126?
so we get
combining like Terms
Write each radicand (the number under the root) as a product of its factors. Try to use perfect squares wherever possible.
Find any roots possible:
Or, we can try to improve it a bit
This can be factored to give:
However, this answer is no better than the first.
We have the following:
In each of our terms, we can rewrite the radicals in such a way where we can factor out a perfect square:
This business simplifies to
Since the latter two terms have a
Since the radicals have no perfect square factors, we are done!
Hope this helps!