---
title: "Square Root Calculator — √x, ∛x, nth Root, Simplified Radical"
description: "Calculate square root, cube root, or any nth root. Shows simplified radical form (e.g. √48 = 4√3) and detects perfect squares. Free calculator."
url: "https://worldcalculators.org/calculators/square-root/"
canonical: "https://worldcalculators.org/calculators/square-root/"
---

# Square Root Calculator

Calculate square root, cube root, or any nth root. Shows simplified radical form (e.g. √48 = 4√3) and detects perfect squares. Free calculator.

## Quick answer

√x = x^(1/2). Common perfect squares: √1=1, √4=2, √9=3, √16=4, √25=5, √49=7, √64=8, √81=9, √100=10. To simplify: √48 = √(16×3) = 4√3 ≈ 6.928.

## Frequently Asked Questions

√2 ≈ 1.41421356237... It is irrational — its decimal expansion never ends or repeats. It appears in the diagonal of a unit square (by the Pythagorean theorem: √(1²+1²) = √2).
√48 = √(16 × 3) = √16 × √3 = 4√3 ≈ 6.928. The key is finding the largest perfect square factor (16). UK GCSE calls this "surd form."

Source: https://worldcalculators.org/calculators/square-root/
Markdown mirror of the HTML page. Prefer this URL for RAG; the interactive calculator still lives on the HTML page.