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What is the Square Root of 13783?

The square root of 13783 is 117.4010221421. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13783 = 117.4010221421
CalculatedNon-perfect squareIrrational
Exact form√13783
Perfect squareNo
Number typeIrrational
Verification117.40102214212 ≈ 13783

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How the answer is calculated

We solve x2 = 13783. The resulting value is x = 117.4010221421.

Verification: 117.40102214212 ≈ 13783.

Simplified radical form

The square root of 13783 in simplified radical form is √13783.

There are no square factors that can be taken outside the radical, so √13783 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13780117.3882447266
√13781117.3925040196
√13782117.3967631581
√13783117.4010221421
√13784117.4052809715
√13785117.4095396465
√13786117.413798167

Number properties

Is 13783 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13783 is irrational because 13783 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 13783.