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What is the Square Root of 13000?

The square root of 13000 is 114.0175425099. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13000 = 114.0175425099
CalculatedNon-perfect squareIrrational
Exact form√13000
Perfect squareNo
Number typeIrrational
Verification114.01754250992 ≈ 13000

On this page

How the answer is calculated

We solve x2 = 13000. The resulting value is x = 114.0175425099.

Verification: 114.01754250992 ≈ 13000.

Simplified radical form

The square root of 13000 in simplified radical form is 10√130.

This is equivalent to √13000, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√12997114.0043858805
√12998114.0087715924
√12999114.0131571355
√13000114.0175425099
√13001114.0219277157
√13002114.0263127528
√13003114.0306976213

Number properties

Is 13000 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13000 is irrational because 13000 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 13000.