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What is the Square Root of 12769?

The square root of 12769 is 113. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12769 = 113
ExactPerfect squareRational
Exact form113
Perfect squareYes
Number typeRational
Verification1132 ≈ 12769

On this page

How the answer is calculated

We solve x2 = 12769. The resulting value is x = 113.

Verification: 1132 ≈ 12769.

Simplified radical form

The square root of 12769 in simplified radical form is 113.

There are no square factors that can be taken outside the radical, so 113 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11312769
Upper or equal11312769

Nearby square roots

NumberSquare root
√12766112.9867248839
√12767112.9911500959
√12768112.9955751346
√12769113
√12770113.0044246921
√12771113.008849211
√12772113.0132735567

Number properties

Is 12769 a perfect square?

Yes. Its square root is the whole number 113.

Is the square root rational or irrational?

113 is rational because it is a whole number.

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 12769.