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What is the Square Root of 13766?

The square root of 13766 is 117.3285983893. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13766 = 117.3285983893
CalculatedNon-perfect squareIrrational
Exact form√13766
Perfect squareNo
Number typeIrrational
Verification117.32859838932 ≈ 13766

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How the answer is calculated

We solve x2 = 13766. The resulting value is x = 117.3285983893.

Verification: 117.32859838932 ≈ 13766.

Simplified radical form

The square root of 13766 in simplified radical form is √13766.

There are no square factors that can be taken outside the radical, so √13766 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13763117.3158130859
√13764117.3200750085
√13765117.3243367763
√13766117.3285983893
√13767117.3328598475
√13768117.337121151
√13769117.3413822997

Number properties

Is 13766 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13766 is irrational because 13766 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 13766.