🧮
FindCalculator
🏠 Home 📁 MATH
330+ Calculators
math arithmetic

Root Calculator (Square, Cube & Nth Root)

Universal math calculator for radicals and fractional exponents ($x^{1/n}$). Computes nth roots for any radicand.

Input Parameters

Instant Calculation Result

Estimated Output
Active in Real-Time

Adjust values on the left to calculate live results.

Formula: Definition: y = ⁿ√x <=> y^n = x. Fractional exponent: ⁿ√x = x^(1/n).

In-Depth Guide & Mathematical Methodology

√ Radical Properties & Rules

Square Root (√x): Index n = 2. Finds value y such that y² = x.

Cube Root (∛x): Index n = 3. Finds value y such that y³ = x.

Nth Root (ⁿ√x): Index n. Equivalent to raising x to (1/n).

Frequently Asked Questions (FAQ)

What is the Root Calculator (Square, Cube & Nth Root) and how does it work?

Universal math calculator for radicals and fractional exponents ($x^{1/n}$). Computes nth roots for any radicand.

How do I use this Root Calculator (Square, Cube & Nth Root)?

Enter Radicand value ($x$). Enter Root Index ($n$) (e.g. 2 for square root, 3 for cube root). View calculated nth root, verification power ($y^n$), and fractional exponent form.

What mathematical formula is used in this calculation?

Definition: y = ⁿ√x <=> y^n = x. Fractional exponent: ⁿ√x = x^(1/n).

Is the Root Calculator (Square, Cube & Nth Root) on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

More Free Calculators in MATH

Area Calculator for Geometric Shapes
Compute area of Rectangles ($A = b \times h$), Trapezoids ($A = \frac{B+b}{2}h$), Ellipses ($A = \pi a b$), and Parallelograms.
Standard Basic Calculator (Arithmetic & Percentage)
Elementary arithmetic calculator for standard operations: addition ($+$), subtraction ($-$), multiplication ($\times$), and division ($\div$).
Big Number Calculator (Large Operations & Giant Powers)
Compute addition, subtraction, multiplication, and powers of high magnitude big numbers without precision loss.
Binary Calculator (Base 2 Conversion & Arithmetic)
Convert integers between Decimal Base (10) and Binary Base (2), computing total required Bits.
Circle Calculator (Radius, Diameter, Area & Circumference)
Compute Area ($A = \pi r^2$), Circumference ($C = 2\pi r$), and Diameter ($d = 2r$) of any circle.
Common Factors & Multiple Divisors Calculator
Find common factors, GCD, and LCM for 3 positive integers ($a, b, c$).