Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 21023?

The square root of 21023 is 144.9931032843. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21023 = 144.9931032843
CalculatedNon-perfect squareIrrational
Exact form√21023
Perfect squareNo
Number typeIrrational
Verification144.99310328432 ≈ 21023

On this page

How the answer is calculated

We solve x2 = 21023. The resulting value is x = 144.9931032843.

Verification: 144.99310328432 ≈ 21023.

Simplified radical form

The square root of 21023 in simplified radical form is √21023.

There are no square factors that can be taken outside the radical, so √21023 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√21020144.9827575955
√21021144.9862062405
√21022144.9896548034
√21023144.9931032843
√21024144.9965516831
√21025145
√21026145.0034482349

Number properties

Is 21023 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21023 is irrational because 21023 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 21023.