Fraction Square Root Calculator
Simplify square roots of fractions step by step. Get exact radical form and decimal approximation.
Step 1: Enter Fraction
√(a/b) = √a / √b
We simplify the square root of the fraction by rationalizing and extracting perfect squares.
Step 2: Output Options
Simplest form
We express √(n/d) as (√(n·d))/d and then simplify the radical √(n·d).
√(Fraction) Result
Result
Step‑by‑step
Visual
Simplified radical form
√3 / 2
≈ 0.8660
√(numerator)
√3 ≈ 1.7321
√(denominator)
√4 = 2
Simplified
√3/2
Decimal
0.8660
Step‑by‑step simplification
| Step | Operation | Result |
|---|
Radical components
√(a/b) = √(a·b) / b
Product a·b = 12 → √12 = 2√3 → result = (2√3)/4 = √3/2
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