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What is the Square Root of 18313?

The square root of 18313 is 135.325533437. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√18313 = 135.325533437
CalculatedNon-perfect squareIrrational
Exact form√18313
Perfect squareNo
Number typeIrrational
Verification135.3255334372 ≈ 18313

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How the answer is calculated

We solve x2 = 18313. The resulting value is x = 135.325533437.

Verification: 135.3255334372 ≈ 18313.

Simplified radical form

The square root of 18313 in simplified radical form is √18313.

There are no square factors that can be taken outside the radical, so √18313 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13518225
Upper or equal13618496

Nearby square roots

NumberSquare root
√18310135.3144486003
√18311135.3181436467
√18312135.3218385923
√18313135.325533437
√18314135.3292281808
√18315135.3329228237
√18316135.3366173657

Number properties

Is 18313 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√18313 is irrational because 18313 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 18313.