What is the Square Root of 17009?

The square root of 17009 is 130.4185569618. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17009 = 130.4185569618
CalculatedNon-perfect squareIrrational
Exact form√17009
Perfect squareNo
Number typeIrrational
Verification130.41855696182 ≈ 17009

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How the answer is calculated

We solve x2 = 17009. The resulting value is x = 130.4185569618.

Verification: 130.41855696182 ≈ 17009.

Simplified radical form

The square root of 17009 in simplified radical form is √17009.

There are no square factors that can be taken outside the radical, so √17009 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13016900
Upper or equal13117161

Nearby square roots

NumberSquare root
√17006130.4070550239
√17007130.4108891159
√17008130.4147230952
√17009130.4185569618
√17010130.4223907157
√17011130.4262243569
√17012130.4300578854

Number properties

Is 17009 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17009 is irrational because 17009 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 17009.