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What is the Square Root of 11364?

The square root of 11364 is 106.6020637699. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√11364 = 106.6020637699
CalculatedNon-perfect squareIrrational
Exact form√11364
Perfect squareNo
Number typeIrrational
Verification106.60206376992 ≈ 11364

On this page

How the answer is calculated

We solve x2 = 11364. The resulting value is x = 106.6020637699.

Verification: 106.60206376992 ≈ 11364.

Simplified radical form

The square root of 11364 in simplified radical form is 2√2841.

This is equivalent to √11364, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10611236
Upper or equal10711449

Nearby square roots

NumberSquare root
√11361106.587991819
√11362106.5926826757
√11363106.597373326
√11364106.6020637699
√11365106.6067540074
√11366106.6114440386
√11367106.6161338635

Number properties

Is 11364 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√11364 is irrational because 11364 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 11364.