Dividing Radicals Calculator

Divide two square roots: √a ÷ √b = √(a/b).

Quotient under root (a/b) 9
√(a/b) 3

Formula: √a ÷ √b = √(a/b)

Step-by-step with your numbers:
1. Values used:
2. a = 18
3. b = 2
4.
5. Quotient under root (a/b) = a / b = 18 / 2 = 9
6. √(a/b) = 3
Did we solve your problem today?

Divide square roots by dividing the values under the radical.

The math behind it

√a ÷ √b = √(a/b) for a ≥ 0 and b > 0.

Worked example

√18 ÷ √2 = √9 = 3.

FAQ

What if the denominator is irrational?

Rationalise it by multiplying numerator and denominator by the same root.