Adding and subtracting surds
Work it out and write the answer in its simplest form.
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Surds are added like objects of the same kind: 3 apples + 5 apples = 8 apples, and in the same way 3√2 + 5√2 = 8√2. You can only combine like surds. √12 and √27 look different, but simplified they are 2√3 and 3√3 — and those we can add.
What does this generator do?
On the easy level you add surds that are already alike (3√2 + 5√2 − √2). On the medium level you first have to simplify one or both surds (√12 + √27). On the hard level there are three terms with numbers in front of the root, sometimes cube roots too, and the answer can be negative.
How to use it
1) Simplify every surd. 2) Combine the terms with the same root — add or subtract the numbers in front of them. 3) In the boxes write the number in front of the root and the number under it.