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What is the Square Root of 13763?

The square root of 13763 is 117.3158130859. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13763 = 117.3158130859
CalculatedNon-perfect squareIrrational
Exact form√13763
Perfect squareNo
Number typeIrrational
Verification117.31581308592 ≈ 13763

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How the answer is calculated

We solve x2 = 13763. The resulting value is x = 117.3158130859.

Verification: 117.31581308592 ≈ 13763.

Simplified radical form

The square root of 13763 in simplified radical form is √13763.

There are no square factors that can be taken outside the radical, so √13763 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13760117.3030263889
√13761117.3072887761
√13762117.3115510084
√13763117.3158130859
√13764117.3200750085
√13765117.3243367763
√13766117.3285983893

Number properties

Is 13763 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13763 is irrational because 13763 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 13763.