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What is the Square Root of 5961?

The square root of 5961 is 77.2075125878. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5961 = 77.2075125878
CalculatedNon-perfect squareIrrational
Exact form√5961
Perfect squareNo
Number typeIrrational
Verification77.20751258782 ≈ 5961

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How the answer is calculated

We solve x2 = 5961. The resulting value is x = 77.2075125878.

Verification: 77.20751258782 ≈ 5961.

Simplified radical form

The square root of 5961 in simplified radical form is √5961.

There are no square factors that can be taken outside the radical, so √5961 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal775929
Upper or equal786084

Nearby square roots

NumberSquare root
√595877.1880819816
√595977.1945593938
√596077.2010362625
√596177.2075125878
√596277.21398837
√596377.2204636091
√596477.2269383052

Number properties

Is 5961 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5961 is irrational because 5961 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 5961.