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What is the Square Root of 6009?

The square root of 6009 is 77.5177399051. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6009 = 77.5177399051
CalculatedNon-perfect squareIrrational
Exact form√6009
Perfect squareNo
Number typeIrrational
Verification77.51773990512 ≈ 6009

On this page

How the answer is calculated

We solve x2 = 6009. The resulting value is x = 77.5177399051.

Verification: 77.51773990512 ≈ 6009.

Simplified radical form

The square root of 6009 in simplified radical form is √6009.

There are no square factors that can be taken outside the radical, so √6009 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal775929
Upper or equal786084

Nearby square roots

NumberSquare root
√600677.49838708
√600777.5048385586
√600877.5112895003
√600977.5177399051
√601077.5241897733
√601177.5306391048
√601277.5370878999

Number properties

Is 6009 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6009 is irrational because 6009 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 6009.