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What is the Square Root of 16966?

The square root of 16966 is 130.2535987987. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16966 = 130.2535987987
CalculatedNon-perfect squareIrrational
Exact form√16966
Perfect squareNo
Number typeIrrational
Verification130.25359879872 ≈ 16966

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How the answer is calculated

We solve x2 = 16966. The resulting value is x = 130.2535987987.

Verification: 130.25359879872 ≈ 16966.

Simplified radical form

The square root of 16966 in simplified radical form is √16966.

There are no square factors that can be taken outside the radical, so √16966 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13016900
Upper or equal13117161

Nearby square roots

NumberSquare root
√16963130.2420822929
√16964130.2459212413
√16965130.2497600766
√16966130.2535987987
√16967130.2574374076
√16968130.2612759035
√16969130.2651142862

Number properties

Is 16966 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16966 is irrational because 16966 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 16966.