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What is the Square Root of 11489?

The square root of 11489 is 107.1867529128. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√11489 = 107.1867529128
CalculatedNon-perfect squareIrrational
Exact form√11489
Perfect squareNo
Number typeIrrational
Verification107.18675291282 ≈ 11489

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How the answer is calculated

We solve x2 = 11489. The resulting value is x = 107.1867529128.

Verification: 107.18675291282 ≈ 11489.

Simplified radical form

The square root of 11489 in simplified radical form is √11489.

There are no square factors that can be taken outside the radical, so √11489 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal10711449
Upper or equal10811664

Nearby square roots

NumberSquare root
√11486107.1727577326
√11487107.1774229957
√11488107.1820880558
√11489107.1867529128
√11490107.1914175669
√11491107.196082018
√11492107.2007462661

Number properties

Is 11489 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√11489 is irrational because 11489 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 11489.