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What is the Square Root of 13664?

The square root of 13664 is 116.8931135696. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13664 = 116.8931135696
CalculatedNon-perfect squareIrrational
Exact form√13664
Perfect squareNo
Number typeIrrational
Verification116.89311356962 ≈ 13664

On this page

How the answer is calculated

We solve x2 = 13664. The resulting value is x = 116.8931135696.

Verification: 116.89311356962 ≈ 13664.

Simplified radical form

The square root of 13664 in simplified radical form is 4√854.

This is equivalent to √13664, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13661116.8802806294
√13662116.8845584327
√13663116.8888360794
√13664116.8931135696
√13665116.8973909033
√13666116.9016680805
√13667116.9059451012

Number properties

Is 13664 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13664 is irrational because 13664 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 13664.