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What is the Square Root of 15965?

The square root of 15965 is 126.3526810163. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15965 = 126.3526810163
CalculatedNon-perfect squareIrrational
Exact form√15965
Perfect squareNo
Number typeIrrational
Verification126.35268101632 ≈ 15965

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How the answer is calculated

We solve x2 = 15965. The resulting value is x = 126.3526810163.

Verification: 126.35268101632 ≈ 15965.

Simplified radical form

The square root of 15965 in simplified radical form is √15965.

There are no square factors that can be taken outside the radical, so √15965 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12615876
Upper or equal12716129

Nearby square roots

NumberSquare root
√15962126.3408089257
√15963126.3447664132
√15964126.3487237767
√15965126.3526810163
√15966126.3566381319
√15967126.3605951236
√15968126.3645519915

Number properties

Is 15965 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15965 is irrational because 15965 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 15965.