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What is the Square Root of 5909?

The square root of 5909 is 76.8700201639. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5909 = 76.8700201639
CalculatedNon-perfect squareIrrational
Exact form√5909
Perfect squareNo
Number typeIrrational
Verification76.87002016392 ≈ 5909

On this page

How the answer is calculated

We solve x2 = 5909. The resulting value is x = 76.8700201639.

Verification: 76.87002016392 ≈ 5909.

Simplified radical form

The square root of 5909 in simplified radical form is √5909.

There are no square factors that can be taken outside the radical, so √5909 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal765776
Upper or equal775929

Nearby square roots

NumberSquare root
√590676.8505042274
√590776.8570100902
√590876.8635154023
√590976.8700201639
√591076.8765243751
√591176.8830280361
√591276.889531147

Number properties

Is 5909 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5909 is irrational because 5909 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 5909.