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What is the Square Root of 12764?

The square root of 12764 is 112.97787394. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12764 = 112.97787394
CalculatedNon-perfect squareIrrational
Exact form√12764
Perfect squareNo
Number typeIrrational
Verification112.977873942 ≈ 12764

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How the answer is calculated

We solve x2 = 12764. The resulting value is x = 112.97787394.

Verification: 112.977873942 ≈ 12764.

Simplified radical form

The square root of 12764 in simplified radical form is 2√3191.

This is equivalent to √12764, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11212544
Upper or equal11312769

Nearby square roots

NumberSquare root
√12761112.9645962238
√12762112.9690223026
√12763112.973448208
√12764112.97787394
√12765112.9822994986
√12766112.9867248839
√12767112.9911500959

Number properties

Is 12764 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√12764 is irrational because 12764 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 12764.