BEDMAS Calculator with Square Roots

Calculate square roots and nth roots instantly with step-by-step explanations.

Square Root Calculator

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How BEDMAS Square Roots Calculator Works

BEDMAS Square Roots Calculator works by computing square roots and nth roots as part of the Orders (O) step in BEDMAS — after Brackets and before Division, Multiplication, Addition, and Subtraction.

Enter a number to calculate its square root. The calculator returns the exact value for perfect squares and a decimal approximation (up to 8 decimal places) for non-perfect squares.

BEDMAS Square Roots Calculator treats roots as exponents: √x = x^(1/2), ∛x = x^(1/3). Roots hold the same priority as exponents in the BEDMAS order.

Square Root BEDMAS Example
✓ Step-by-Step
2 × √16 + 3
1. Root (Orders): √16 = 4
2. Multiply: 2 × 4 = 8
3. Add: 8 + 3 = 11
= 11 ✓

BEDMAS Square Roots Formula

The BEDMAS Square Roots formula is √x = x^(1/2) where x is the radicand and the result is the principal (non-negative) root.

Root Operations
√
Square Root
√x = x^(1/2) — finds y where y² = x
∛
Cube Root
∛x = x^(1/3) — finds y where y³ = x
ⁿ√
Nth Root
ⁿ√x = x^(1/n) — generalized root formula
±
Negative Radicand
√(−x) is undefined for real numbers when x > 0

The product rule for roots states √(a×b) = √a × √b. The quotient rule states √(a/b) = √a / √b, when b ≠ 0.

BEDMAS Square Roots Conversions Chart

The BEDMAS Square Roots conversions chart shows 15 common perfect squares and their square root values.

Perfect Squares Reference
√nResult√nResult√nResult
√11√42√93
√164√255√366
√497√648√819
√10010√12111√14412
√16913√19614√22515

Non-perfect squares produce irrational numbers: √2 ≈ 1.41421356, √3 ≈ 1.73205081, √5 ≈ 2.23606798.

Square Roots FAQ

Common questions about roots and radicals in BEDMAS.

Square roots are under "E" (Exponents). √x = x^0.5. Roots take priority over multiplication, division, addition, subtraction.
Yes. Exponents/roots are step 2, multiplication is step 3.
Brackets, Exponents, Division, Multiplication, Addition, Subtraction — the Canadian variant of BODMAS.
Enter the number in the input field and click Calculate. For expressions, use ^(0.5) notation.