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What is the Square Root of 13512?

The square root of 13512 is 116.2411286938. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13512 = 116.2411286938
CalculatedNon-perfect squareIrrational
Exact form√13512
Perfect squareNo
Number typeIrrational
Verification116.24112869382 ≈ 13512

On this page

How the answer is calculated

We solve x2 = 13512. The resulting value is x = 116.2411286938.

Verification: 116.24112869382 ≈ 13512.

Simplified radical form

The square root of 13512 in simplified radical form is 2√3378.

This is equivalent to √13512, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13509116.2282237669
√13510116.2325255684
√13511116.2368272107
√13512116.2411286938
√13513116.2454300177
√13514116.2497311825
√13515116.2540321881

Number properties

Is 13512 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13512 is irrational because 13512 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 13512.