Math / CALCULATOR

Product of Real Square Roots

Product of Real Square Roots with a worked example and explicitly bounded inputs.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

Enter first radicand.
Enter second radicand.

Formula

√a √b=√(ab) for a,b≥0.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Nonnegative real radicands only; the identity is not applied to arbitrary complex principal roots.

Example Calculation

Example inputs
  • First radicand: 8
  • Second radicand: 2

First radicand = 8; Second radicand = 2. Primary result: 4.

Frequently asked questions

How do I use this calculator?

Enter first radicand, second radicand. The result updates automatically. Use Reset to restore the example values.

What method does it use?

√a √b=√(ab) for a,b≥0.. Nonnegative real radicands only; the identity is not applied to arbitrary complex principal roots.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.