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What is the Square Root of 12704?

The square root of 12704 is 112.7120224288. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12704 = 112.7120224288
CalculatedNon-perfect squareIrrational
Exact form√12704
Perfect squareNo
Number typeIrrational
Verification112.71202242882 ≈ 12704

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How the answer is calculated

We solve x2 = 12704. The resulting value is x = 112.7120224288.

Verification: 112.71202242882 ≈ 12704.

Simplified radical form

The square root of 12704 in simplified radical form is 4√794.

This is equivalent to √12704, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11212544
Upper or equal11312769

Nearby square roots

NumberSquare root
√12701112.6987133911
√12702112.7031499116
√12703112.7075862575
√12704112.7120224288
√12705112.7164584256
√12706112.7208942477
√12707112.7253298953

Number properties

Is 12704 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√12704 is irrational because 12704 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 12704.