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What is the Square Root of 13765?

The square root of 13765 is 117.3243367763. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13765 = 117.3243367763
CalculatedNon-perfect squareIrrational
Exact form√13765
Perfect squareNo
Number typeIrrational
Verification117.32433677632 ≈ 13765

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How the answer is calculated

We solve x2 = 13765. The resulting value is x = 117.3243367763.

Verification: 117.32433677632 ≈ 13765.

Simplified radical form

The square root of 13765 in simplified radical form is √13765.

There are no square factors that can be taken outside the radical, so √13765 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13762117.3115510084
√13763117.3158130859
√13764117.3200750085
√13765117.3243367763
√13766117.3285983893
√13767117.3328598475
√13768117.337121151

Number properties

Is 13765 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13765 is irrational because 13765 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 13765.