Math

Dividing Radicals Calculator

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

Calculated Output

Quotient under root (a/b) 9

√(a/b) 3

Formula: √a ÷ √b = √(a/b)

Step-by-Step Breakdown

1. Values used:

2. a = 18

3. b = 2

5. Quotient under root (a/b) = a / b = 18 / 2 = 9

6. √(a/b) = 3

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The math behind it

√a ÷ √b = √(a/b) for a ≥ 0 and b > 0.

√18 ÷ √2 = √9 = 3.

What if the denominator is irrational?

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