What is the Square Root of 15089?

The square root of 15089 is 122.8372907549. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15089 = 122.8372907549
CalculatedNon-perfect squareIrrational
Exact form√15089
Perfect squareNo
Number typeIrrational
Verification122.83729075492 ≈ 15089

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How the answer is calculated

We solve x2 = 15089. The resulting value is x = 122.8372907549.

Verification: 122.83729075492 ≈ 15089.

Simplified radical form

The square root of 15089 in simplified radical form is √15089.

There are no square factors that can be taken outside the radical, so √15089 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12214884
Upper or equal12315129

Nearby square roots

NumberSquare root
√15086122.8250788724
√15087122.8291496348
√15088122.8332202623
√15089122.8372907549
√15090122.8413611126
√15091122.8454313355
√15092122.8495014235

Number properties

Is 15089 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15089 is irrational because 15089 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 15089.