Dividing Radicals Calculator

Your details

The number multiplied by the top radical. Use 1 if there is no coefficient.
The positive integer under the radical sign in the numerator.
Which root to take in the numerator: 2 for square root, 3 for cube root, etc.
The number multiplied by the bottom radical. Use 1 if there is no coefficient.
The positive integer under the radical sign in the denominator.
Which root to take in the denominator: 2 for square root, 3 for cube root, etc.
Decimal result
6.928203

Numeric approximation of the quotient

Simplified exact formsqrt(12)
Coefficient of result1
Result root index2
Radicand of result12
Coefficient1
Radicand12
Root index2

Result: sqrt(12) (approx. 6.9282)

  • Because both radicals share the same index (2), you apply the quotient rule directly: divide the radicands to get square root(6/2).
  • After simplification the coefficient outside the radical is 1.
  • The decimal approximation is 6.928203.

Next stepCheck your answer by squaring (or raising to the index power) and multiplying back through to verify you get the original expressions.

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