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What is the Square Root of 15966?

The square root of 15966 is 126.3566381319. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15966 = 126.3566381319
CalculatedNon-perfect squareIrrational
Exact form√15966
Perfect squareNo
Number typeIrrational
Verification126.35663813192 ≈ 15966

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How the answer is calculated

We solve x2 = 15966. The resulting value is x = 126.3566381319.

Verification: 126.35663813192 ≈ 15966.

Simplified radical form

The square root of 15966 in simplified radical form is 3√1774.

This is equivalent to √15966, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12615876
Upper or equal12716129

Nearby square roots

NumberSquare root
√15963126.3447664132
√15964126.3487237767
√15965126.3526810163
√15966126.3566381319
√15967126.3605951236
√15968126.3645519915
√15969126.3685087354

Number properties

Is 15966 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15966 is irrational because 15966 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 15966.