Question

Combine and simplify these radicals.

Answer 1

I don't see the radicals you want combined — could you paste the expression?

Meanwhile, here are short instructions and a quick example so you know what I’ll do once you give the expression.

Steps to combine and simplify radicals
1. Simplify each radical by factoring out perfect powers (e.g., √50 = √(25·2) = 5√2; ∛16 = ∛(8·2) = 2∛2).
2. Make sure like terms have the same index and the same radicand (after simplification). Only like radicals can be added/subtracted.
3. Combine the coefficients of like radicals.
4. If required, rationalize denominators.

Example
Combine √50 + 3√8 − 2√18:
- √50 = 5√2
- 3√8 = 3·(2√2) = 6√2
- 2√18 = 2·(3√2) = 6√2
So 5√2 + 6√2 − 6√2 = 5√2.

Send the expression you want combined and I’ll simplify it step by step.