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What is the Square Root of 13213?

The square root of 13213 is 114.9478142463. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13213 = 114.9478142463
CalculatedNon-perfect squareIrrational
Exact form√13213
Perfect squareNo
Number typeIrrational
Verification114.94781424632 ≈ 13213

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How the answer is calculated

We solve x2 = 13213. The resulting value is x = 114.9478142463.

Verification: 114.94781424632 ≈ 13213.

Simplified radical form

The square root of 13213 in simplified radical form is √13213.

There are no square factors that can be taken outside the radical, so √13213 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13210114.9347641056
√13211114.9391143171
√13212114.943464364
√13213114.9478142463
√13214114.952163964
√13215114.9565135171
√13216114.9608629056

Number properties

Is 13213 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13213 is irrational because 13213 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 13213.