What is the Square Root of 13017?

The square root of 13017 is 114.0920680854. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13017 = 114.0920680854
CalculatedNon-perfect squareIrrational
Exact form√13017
Perfect squareNo
Number typeIrrational
Verification114.09206808542 ≈ 13017

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How the answer is calculated

We solve x2 = 13017. The resulting value is x = 114.0920680854.

Verification: 114.09206808542 ≈ 13017.

Simplified radical form

The square root of 13017 in simplified radical form is √13017.

There are no square factors that can be taken outside the radical, so √13017 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13014114.078920051
√13015114.0833028975
√13016114.0876855756
√13017114.0920680854
√13018114.0964504268
√13019114.1008325999
√13020114.1052146048

Number properties

Is 13017 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13017 is irrational because 13017 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 13017.