Simplifying Radicals Calculator

Your details

2 for a square root, 3 for a cube root, 4 for a fourth root, and so on.
The positive integer inside the radical sign.
The number multiplying the radical, for example the 3 in 3*sqrt(50). Default is 1.
Simplified radical
6 * sqrt(2)

The radical reduced to simplest form

Coefficient (outside)6
Simplified radicand (inside)2
Decimal value8.485281
Original decimal (before simplification)8.485281
Coefficient (outside)6
Radicand (inside)2

Simplified: 6 * sqrt(2)

  • 6 was a factor of 72, so 6 was pulled out from under the radical, reducing the radicand from 72 to 2.
  • The decimal approximation is 8.485281, which you can use to verify the result.
  • An expression is fully simplified when the radicand contains no factor that is a perfect nth power (where n is the root index).

Next stepUse 6 * sqrt(2) as an exact answer, or the decimal 8.4853 as an approximation. Always leave the exact form in mathematical proofs.

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