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Square Root Calculator

A square root calculator determines the principal square root (√x) and arbitrary nth roots of any positive real number. By finding the number that multiplies by itself to produce the radicand, it verifies that √144 = 12 and calculates irrational roots to six decimal places.

By Daniel Okoro (Mathematics Editor) · Reviewed by Maya ChenUpdated · Published

Scientific
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How Does the Square Root Calculator Work?

  1. Enter the number x.
  2. Select square root (√), cube root (∛), or specify an nth root.
  3. The calculator computes the root value and indicates whether x is a perfect square.

What Is the Square Root Formula?

√x = r such that r² = x

The number r which multiplied by itself yields x.

Variables
r:Root solution

How Do You Calculate Square Root Step by Step?

Finding the square root of 144
Number: 144

12 × 12 = 144

Therefore √144 = 12 (144 is a perfect square)

Final Solution:12

Square Root Questions and Answers

In real numbers, square roots of negative numbers are undefined. In complex numbers, √(-1) is represented by the imaginary unit i.

Where Do These Square Root Standards Come From?

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