What is the Square Root of 17165?

The square root of 17165 is 131.015266286. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17165 = 131.015266286
CalculatedNon-perfect squareIrrational
Exact form√17165
Perfect squareNo
Number typeIrrational
Verification131.0152662862 ≈ 17165

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How the answer is calculated

We solve x2 = 17165. The resulting value is x = 131.015266286.

Verification: 131.0152662862 ≈ 17165.

Simplified radical form

The square root of 17165 in simplified radical form is √17165.

There are no square factors that can be taken outside the radical, so √17165 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13117161
Upper or equal13217424

Nearby square roots

NumberSquare root
√17162131.0038167383
√17163131.0076333654
√17164131.0114498813
√17165131.015266286
√17166131.0190825796
√17167131.022898762
√17168131.0267148333

Number properties

Is 17165 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17165 is irrational because 17165 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 17165.