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What is the Square Root of 21024?

The square root of 21024 is 144.9965516831. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21024 = 144.9965516831
CalculatedNon-perfect squareIrrational
Exact form√21024
Perfect squareNo
Number typeIrrational
Verification144.99655168312 ≈ 21024

On this page

How the answer is calculated

We solve x2 = 21024. The resulting value is x = 144.9965516831.

Verification: 144.99655168312 ≈ 21024.

Simplified radical form

The square root of 21024 in simplified radical form is 12√146.

This is equivalent to √21024, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√21021144.9862062405
√21022144.9896548034
√21023144.9931032843
√21024144.9965516831
√21025145
√21026145.0034482349
√21027145.0068963877

Number properties

Is 21024 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21024 is irrational because 21024 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 21024.