What is the Square Root of 3004?

The square root of 3004 is 54.8087584242. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3004 = 54.8087584242
CalculatedNon-perfect squareIrrational
Exact form√3004
Perfect squareNo
Number typeIrrational
Verification54.80875842422 ≈ 3004

On this page

How the answer is calculated

We solve x2 = 3004. The resulting value is x = 54.8087584242.

Verification: 54.80875842422 ≈ 3004.

Simplified radical form

The square root of 3004 in simplified radical form is 2√751.

This is equivalent to √3004, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal542916
Upper or equal553025

Nearby square roots

NumberSquare root
√300154.7813836992
√300254.7905101272
√300354.7996350353
√300454.8087584242
√300554.8178802947
√300654.8270006475
√300754.8361194834

Number properties

Is 3004 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3004 is irrational because 3004 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 3004.