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What is the Square Root of 12767?

The square root of 12767 is 112.9911500959. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12767 = 112.9911500959
CalculatedNon-perfect squareIrrational
Exact form√12767
Perfect squareNo
Number typeIrrational
Verification112.99115009592 ≈ 12767

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How the answer is calculated

We solve x2 = 12767. The resulting value is x = 112.9911500959.

Verification: 112.99115009592 ≈ 12767.

Simplified radical form

The square root of 12767 in simplified radical form is √12767.

There are no square factors that can be taken outside the radical, so √12767 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11212544
Upper or equal11312769

Nearby square roots

NumberSquare root
√12764112.97787394
√12765112.9822994986
√12766112.9867248839
√12767112.9911500959
√12768112.9955751346
√12769113
√12770113.0044246921

Number properties

Is 12767 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√12767 is irrational because 12767 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 12767.