Multiplying Radicals Calculator

Your details

Choose whether both radicals share the same root index or have different indices.
The number multiplied in front of the first radical. Use 1 if there is no coefficient.
The index (order) of the first root. A square root has index 2, a cube root has index 3, and so on.
The number under the radical sign of the first expression.
The number multiplied in front of the second radical. Use 1 if there is no coefficient.
The number under the radical sign of the second expression.
Decimal result
36

The numerical value of the product

Simplified form36
Outer coefficient36
Remaining radicand1
Common radical index2
Outer coefficient36
Remaining radicand1
Decimal result36

Product: 36 (approx. 36.0000)

  • The radicand simplifies to 1, so the final result is a whole number: 36.
  • Both radicals share the same index (2), so the product rule applies directly: multiply the coefficients together and the radicands together under a single radical.
  • The exact decimal value is approximately 36.000000, which you can verify by computing 3sqrt(12) and 2sqrt(3) separately and multiplying.

Next stepTo divide radical expressions, apply the quotient rule: the nth root of (a/b) equals the nth root of a divided by the nth root of b.

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