Question

Combine the radicals .

Answer 1

I don’t see the expression you want combined — can you paste it?

Meanwhile, here’s a quick reminder of the method and a couple of examples so you can apply it once you paste your radicals.

Method (square roots or same-index radicals)
1. Simplify each radical by factoring out perfect powers (for square roots, factor out perfect squares; for cube roots, perfect cubes; etc.).
2. Write each as coefficient × (same radical).
3. Add/subtract the coefficients for terms that have the exact same radicand and index.
4. If radicals have different indices or different radicands, they cannot be combined (unless you rewrite with a common index, which is rarely simpler).

Examples
- Example 1 (square roots):
Combine √50 + 2√8 − 3√18.
√50 = 5√2, 2√8 = 2·2√2 = 4√2, 3√18 = 3·3√2 = 9√2.
So 5√2 + 4√2 − 9√2 = 0.

- Example 2 (cube roots):
Combine ∛54 + 2∛16.
∛54 = ∛(27·2) = 3∛2, 2∛16 = 2∛(8·2) = 2·2∛2 = 4∛2.
So 3∛2 + 4∛2 = 7∛2.

Paste the radicals you want combined and I’ll do it step by step.