Square Root Calculator – Free Root Calculator by All Calculator

The Square Root Calculator by All Calculator helps you instantly find the square root, cube root, and nth root of any number. Whether you’re solving math homework, doing scientific calculations, or working with equations, this radical calculator gives accurate answers within seconds.

Square Root Calculator

Calculate square roots and nth roots

What Is a Square Root?

A square root is a value that, when multiplied by itself, gives the original number.

Example

√81 = 9 (9 × 9 = 81)

This tool also acts as a square root finder and square root solver for fast and error-free answers.

What Is an Nth Root?

The nth root of a number is a value that must be multiplied by itself n times to get the original number.

Examples

Cube root of 27 = 3 (3 × 3 × 3 = 27)

4th root of 81 = 3 (3 × 3 × 3 × 3 = 81)

Use our root calculator to solve all nth-root problems instantly.

How to Use the Square Root Calculator (Step-by-Step)

The All Calculator square root calculator allows you to calculate both square roots and nth roots at the same time.

Step 1 – Enter the Number

Type the number you want to find the root of. Example: Enter 64

Step 2 – Enter the Root (n)

Example:

  • 2 for square root
  • 3 for cube root
  • 4 for fourth root
  • Any number for nth root

Step 3 – Click “Calculate”

Your result appears instantly. This makes the tool a perfect square root equation calculator for students and professionals.

Examples with Step-by-Step Solutions

Example 1 – Square Root of 64

Number: 64 | Root (n): 2

Example:

  • Formula → ⁿ√a = a^(1/n)
  • 64^(1/2) = 8

√64 = 8

Example 2 – Cube Root of 125

Number: 125 | Root (n): 3

Example:

  • Formula → ⁿ√a = a^(1/n)
  • 125^(1/3) = 5

∛125 = 5

Example 3 – 4th Root of 125

Number: 125 | Root (n): 4

Example:

  • Formula → ⁿ√a = a^(1/n)
  • 125^(1/4) = 3.3437015248821

4√125 ≈ 3.343702

How the Square Root Calculator Works

nth Root Formula

ⁿ√x = x^(1/n)

Perfect Root Example

√100 = 10

Not a Perfect Root Example

√2 ≈ 1.4142

You can also calculate roots for decimals, such as: √2.25 = 1.5

This makes the tool a complete square root equation calculator and square root solver.

Why Use the All Calculator Root Calculator?

1. Fast, Accurate Results

Manual calculations can take time. Example: √144 → 12 instantly

2. No Human Error

Finding √2.25 manually can be confusing. The calculator gives 1.5 instantly.

3. Supports All Roots

From square root (2nd) to cube root (3rd) to any custom root.

4. Useful for Students & Professionals

Example:

  • Assignments
  • Engineering
  • Physics
  • Real-life calculations

Tips for Best Results

  • Never enter 0 in the root (n) field
  • Use decimal numbers when needed
  • Double-check your inputs before calculating

FAQ – Square Root Calculator

1. What is a square root?

It’s a value that multiplies by itself to give the original number. Example: √64 = 8

2. Can I calculate cube or 4th roots?

Yes! This square root finder supports all roots: 2nd, 3rd, 4th, 5th, etc.

3. What happens if I enter 0 in the root field?

You’ll get an error because the 0th root is undefined.