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What is the Square Root of 11264?

The square root of 11264 is 106.1319932914. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√11264 = 106.1319932914
CalculatedNon-perfect squareIrrational
Exact form√11264
Perfect squareNo
Number typeIrrational
Verification106.13199329142 ≈ 11264

On this page

How the answer is calculated

We solve x2 = 11264. The resulting value is x = 106.1319932914.

Verification: 106.13199329142 ≈ 11264.

Simplified radical form

The square root of 11264 in simplified radical form is 32√11.

This is equivalent to √11264, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10611236
Upper or equal10711449

Nearby square roots

NumberSquare root
√11261106.1178590059
√11262106.1225706436
√11263106.127282072
√11264106.1319932914
√11265106.1367043016
√11266106.1414151027
√11267106.1461256947

Number properties

Is 11264 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√11264 is irrational because 11264 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 11264.