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What is the Square Root of 12987?

The square root of 12987 is 113.9605194793. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12987 = 113.9605194793
CalculatedNon-perfect squareIrrational
Exact form√12987
Perfect squareNo
Number typeIrrational
Verification113.96051947932 ≈ 12987

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How the answer is calculated

We solve x2 = 12987. The resulting value is x = 113.9605194793.

Verification: 113.96051947932 ≈ 12987.

Simplified radical form

The square root of 12987 in simplified radical form is 3√1443.

This is equivalent to √12987, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11312769
Upper or equal11412996

Nearby square roots

NumberSquare root
√12984113.947356266
√12985113.9517441727
√12986113.9561319105
√12987113.9605194793
√12988113.9649068793
√12989113.9692941103
√12990113.9736811725

Number properties

Is 12987 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√12987 is irrational because 12987 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 12987.