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What is the Square Root of 5859?

The square root of 5859 is 76.544104933. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5859 = 76.544104933
CalculatedNon-perfect squareIrrational
Exact form√5859
Perfect squareNo
Number typeIrrational
Verification76.5441049332 ≈ 5859

On this page

How the answer is calculated

We solve x2 = 5859. The resulting value is x = 76.544104933.

Verification: 76.5441049332 ≈ 5859.

Simplified radical form

The square root of 5859 in simplified radical form is 3√651.

This is equivalent to √5859, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal765776
Upper or equal775929

Nearby square roots

NumberSquare root
√585676.5245058788
√585776.5310394546
√585876.5375724726
√585976.544104933
√586076.550636836
√586176.5571681817
√586276.5636989702

Number properties

Is 5859 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5859 is irrational because 5859 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 5859.