Question

simplify ...question in comments

Answer 1

\[\sqrt{140}+\sqrt {50}+\sqrt {128}\]

Answer 2

You need to split each number into its prime factors. So for instance:

So \(140=2^2\times5\times7\)
If we put this under the square root we have:
\(\sqrt{140}=\sqrt{2^2\times5\times7}\)
Now use the law that: \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\)
So \(sqrt{140}=\sqrt{2^2}\times \sqrt{5\times7}\)
And you can simplify the first to:
\[2\sqrt{35}\]

Answer 3

Can you now apply this method to the others? You will no doubt end up with terms which can be collected.

Answer 4

add them all