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What is the Square Root of 11744?

The square root of 11744 is 108.3697374732. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√11744 = 108.3697374732
CalculatedNon-perfect squareIrrational
Exact form√11744
Perfect squareNo
Number typeIrrational
Verification108.36973747322 ≈ 11744

On this page

How the answer is calculated

We solve x2 = 11744. The resulting value is x = 108.3697374732.

Verification: 108.36973747322 ≈ 11744.

Simplified radical form

The square root of 11744 in simplified radical form is 4√734.

This is equivalent to √11744, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10811664
Upper or equal10911881

Nearby square roots

NumberSquare root
√11741108.3558950865
√11742108.3605094119
√11743108.3651235407
√11744108.3697374732
√11745108.3743512091
√11746108.3789647487
√11747108.3835780919

Number properties

Is 11744 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√11744 is irrational because 11744 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 11744.