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What is the Square Root of 12991?

The square root of 12991 is 113.9780680657. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12991 = 113.9780680657
CalculatedNon-perfect squareIrrational
Exact form√12991
Perfect squareNo
Number typeIrrational
Verification113.97806806572 ≈ 12991

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How the answer is calculated

We solve x2 = 12991. The resulting value is x = 113.9780680657.

Verification: 113.97806806572 ≈ 12991.

Simplified radical form

The square root of 12991 in simplified radical form is √12991.

There are no square factors that can be taken outside the radical, so √12991 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11312769
Upper or equal11412996

Nearby square roots

NumberSquare root
√12988113.9649068793
√12989113.9692941103
√12990113.9736811725
√12991113.9780680657
√12992113.9824547902
√12993113.9868413458
√12994113.9912277327

Number properties

Is 12991 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√12991 is irrational because 12991 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 12991.