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What is the Square Root of 5991?

The square root of 5991 is 77.4015503721. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5991 = 77.4015503721
CalculatedNon-perfect squareIrrational
Exact form√5991
Perfect squareNo
Number typeIrrational
Verification77.40155037212 ≈ 5991

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How the answer is calculated

We solve x2 = 5991. The resulting value is x = 77.4015503721.

Verification: 77.40155037212 ≈ 5991.

Simplified radical form

The square root of 5991 in simplified radical form is √5991.

There are no square factors that can be taken outside the radical, so √5991 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal775929
Upper or equal786084

Nearby square roots

NumberSquare root
√598877.3821684886
√598977.3886296558
√599077.3950902836
√599177.4015503721
√599277.4080099215
√599377.4144689318
√599477.4209274034

Number properties

Is 5991 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5991 is irrational because 5991 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 5991.