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What is the Square Root of 12988?

The square root of 12988 is 113.9649068793. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12988 = 113.9649068793
CalculatedNon-perfect squareIrrational
Exact form√12988
Perfect squareNo
Number typeIrrational
Verification113.96490687932 ≈ 12988

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How the answer is calculated

We solve x2 = 12988. The resulting value is x = 113.9649068793.

Verification: 113.96490687932 ≈ 12988.

Simplified radical form

The square root of 12988 in simplified radical form is 2√3247.

This is equivalent to √12988, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11312769
Upper or equal11412996

Nearby square roots

NumberSquare root
√12985113.9517441727
√12986113.9561319105
√12987113.9605194793
√12988113.9649068793
√12989113.9692941103
√12990113.9736811725
√12991113.9780680657

Number properties

Is 12988 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√12988 is irrational because 12988 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 12988.