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What is the Square Root of 21264?

The square root of 21264 is 145.8218090685. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21264 = 145.8218090685
CalculatedNon-perfect squareIrrational
Exact form√21264
Perfect squareNo
Number typeIrrational
Verification145.82180906852 ≈ 21264

On this page

How the answer is calculated

We solve x2 = 21264. The resulting value is x = 145.8218090685.

Verification: 145.82180906852 ≈ 21264.

Simplified radical form

The square root of 21264 in simplified radical form is 4√1329.

This is equivalent to √21264, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21261145.8115221785
√21262145.8149512224
√21263145.8183801858
√21264145.8218090685
√21265145.8252378705
√21266145.828666592
√21267145.8320952328

Number properties

Is 21264 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21264 is irrational because 21264 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 21264.