What is the Square Root of 17267?

The square root of 17267 is 131.4039573224. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17267 = 131.4039573224
CalculatedNon-perfect squareIrrational
Exact form√17267
Perfect squareNo
Number typeIrrational
Verification131.40395732242 ≈ 17267

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How the answer is calculated

We solve x2 = 17267. The resulting value is x = 131.4039573224.

Verification: 131.40395732242 ≈ 17267.

Simplified radical form

The square root of 17267 in simplified radical form is √17267.

There are no square factors that can be taken outside the radical, so √17267 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13117161
Upper or equal13217424

Nearby square roots

NumberSquare root
√17264131.3925416453
√17265131.3963469812
√17266131.4001522069
√17267131.4039573224
√17268131.4077623278
√17269131.411567223
√17270131.415372008

Number properties

Is 17267 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17267 is irrational because 17267 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 17267.