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What is the Square Root of 13221?

The square root of 13221 is 114.9826073804. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13221 = 114.9826073804
CalculatedNon-perfect squareIrrational
Exact form√13221
Perfect squareNo
Number typeIrrational
Verification114.98260738042 ≈ 13221

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How the answer is calculated

We solve x2 = 13221. The resulting value is x = 114.9826073804.

Verification: 114.98260738042 ≈ 13221.

Simplified radical form

The square root of 13221 in simplified radical form is 3√1469.

This is equivalent to √13221, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13218114.969561189
√13219114.973910084
√13220114.9782588144
√13221114.9826073804
√13222114.9869557819
√13223114.991304019
√13224114.9956520917

Number properties

Is 13221 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13221 is irrational because 13221 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 13221.