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What is the Square Root of 13253?

The square root of 13253 is 115.121674762. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13253 = 115.121674762
CalculatedNon-perfect squareIrrational
Exact form√13253
Perfect squareNo
Number typeIrrational
Verification115.1216747622 ≈ 13253

On this page

How the answer is calculated

We solve x2 = 13253. The resulting value is x = 115.121674762.

Verification: 115.1216747622 ≈ 13253.

Simplified radical form

The square root of 13253 in simplified radical form is √13253.

There are no square factors that can be taken outside the radical, so √13253 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13250115.1086443322
√13251115.1129879727
√13252115.1173314493
√13253115.121674762
√13254115.1260179108
√13255115.1303608958
√13256115.134703717

Number properties

Is 13253 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13253 is irrational because 13253 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 13253.