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What is the Square Root of 13504?

The square root of 13504 is 116.2067123707. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13504 = 116.2067123707
CalculatedNon-perfect squareIrrational
Exact form√13504
Perfect squareNo
Number typeIrrational
Verification116.20671237072 ≈ 13504

On this page

How the answer is calculated

We solve x2 = 13504. The resulting value is x = 116.2067123707.

Verification: 116.20671237072 ≈ 13504.

Simplified radical form

The square root of 13504 in simplified radical form is 8√211.

This is equivalent to √13504, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13501116.1938036214
√13502116.1981066971
√13503116.2024096136
√13504116.2067123707
√13505116.2110149685
√13506116.215317407
√13507116.2196196862

Number properties

Is 13504 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13504 is irrational because 13504 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 13504.