Question

Combine these radicals.

Answer 1

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

Meanwhile, here are quick rules and examples so you can do it yourself:

Rules
- You can only add/subtract radicals that have the same index and the same simplified radicand. Example: a√b + c√b = (a+c)√b.
- First simplify each radical by factoring out perfect powers of the index (e.g., for square roots, factor out perfect squares; for cube roots, factor out perfect cubes).
- After simplification each term should be in the form k·root_index(n) where n has no perfect power for that index; then combine like terms by adding/subtracting the coefficients k.
- You cannot combine different indices (√ and ∛) or different radicands (√2 and √3) unless they simplify to the same form.

Examples
1) √50 + √8
√50 = 5√2, √8 = 2√2 → 5√2 + 2√2 = 7√2

2) 3√12 − √27
√12 = 2√3 → 3·2√3 = 6√3; √27 = 3√3 → 6√3 − 3√3 = 3√3

3) 2∛16 − ∛2
∛16 = 2∛2 → 2·2∛2 − 1∛2 = 3∛2

4) 7√50 − 2√18 + √8
7·5√2 − 2·3√2 + 2√2 = (35 − 6 + 2)√2 = 31√2

If you paste your specific expression I’ll combine and simplify it step by step.