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What is the Square Root of 13564?

The square root of 13564 is 116.4645868923. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13564 = 116.4645868923
CalculatedNon-perfect squareIrrational
Exact form√13564
Perfect squareNo
Number typeIrrational
Verification116.46458689232 ≈ 13564

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How the answer is calculated

We solve x2 = 13564. The resulting value is x = 116.4645868923.

Verification: 116.46458689232 ≈ 13564.

Simplified radical form

The square root of 13564 in simplified radical form is 2√3391.

This is equivalent to √13564, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13561116.4517067286
√13562116.4560002748
√13563116.4602936627
√13564116.4645868923
√13565116.4688799637
√13566116.4731728768
√13567116.4774656318

Number properties

Is 13564 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13564 is irrational because 13564 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 13564.