Add two square-root terms after simplifying each radical
a =
b =
c =
d =
Result
Simplified Sum
Step-by-Step Derivation
Radical Addition Formula
a√m + b√m = (a+b)√m
Radicals can be added only after they share the same simplified radicand. Simplify each square root first, then add the outside coefficients while keeping the matching radical unchanged.
⚠Note: Radicands must be nonnegative integers for this real-number square-root tool. Decimal coefficients are allowed, but the values under the radicals should be whole numbers.
How Radical Addition Works
Simplify both radicals first. If the remaining radicands match, combine coefficients; if not, leave the terms separate.
Simplify First
Extract perfect-square factors from each radical.
Match Radicands
Only radicals with the same inside value combine.
Add Coefficients
The outside numbers add while the radical remains unchanged.
Leave Unlike Terms
Unlike simplified radicals stay as separate terms.
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