Multiplying Radicals Calculator

Multiply two square roots: √a × √b = √(ab).

Product under root (ab) 16

√(ab) 4

Formula: √a × √b = √(ab)

Step-by-step with your numbers:

1. Values used:

2. a = 8

3. b = 2

5. Product under root (ab) = a x b = 8 x 2 = 16

6. √(ab) = a / b = 8 / 2 = 4

Did we solve your problem today?

Multiply square roots by multiplying what's under the radical sign.

The math behind it

√a × √b = √(ab) for non-negative a and b. Simplify the result if it is a perfect square.

√8 × √2 = √16 = 4.

Does this work for negative numbers?

Not within the real numbers — the rule needs a, b ≥ 0.