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What is the Square Root of 13582?

The square root of 13582 is 116.541837981. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13582 = 116.541837981
CalculatedNon-perfect squareIrrational
Exact form√13582
Perfect squareNo
Number typeIrrational
Verification116.5418379812 ≈ 13582

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How the answer is calculated

We solve x2 = 13582. The resulting value is x = 116.541837981.

Verification: 116.5418379812 ≈ 13582.

Simplified radical form

The square root of 13582 in simplified radical form is √13582.

There are no square factors that can be taken outside the radical, so √13582 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13579116.528966356
√13580116.5332570557
√13581116.5375475973
√13582116.541837981
√13583116.5461282068
√13584116.5504182747
√13585116.5547081846

Number properties

Is 13582 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13582 is irrational because 13582 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 13582.