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What is the Square Root of 6004?

The square root of 6004 is 77.4854825112. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6004 = 77.4854825112
CalculatedNon-perfect squareIrrational
Exact form√6004
Perfect squareNo
Number typeIrrational
Verification77.48548251122 ≈ 6004

On this page

How the answer is calculated

We solve x2 = 6004. The resulting value is x = 77.4854825112.

Verification: 77.48548251122 ≈ 6004.

Simplified radical form

The square root of 6004 in simplified radical form is 2√1501.

This is equivalent to √6004, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal775929
Upper or equal786084

Nearby square roots

NumberSquare root
√600177.4661216275
√600277.472575793
√600377.4790294209
√600477.4854825112
√600577.4919350642
√600677.49838708
√600777.5048385586

Number properties

Is 6004 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6004 is irrational because 6004 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 6004.