What is the Square Root of 24004?

The square root of 24004 is 154.9322432549. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√24004 = 154.9322432549
CalculatedNon-perfect squareIrrational
Exact form√24004
Perfect squareNo
Number typeIrrational
Verification154.93224325492 ≈ 24004

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How the answer is calculated

We solve x2 = 24004. The resulting value is x = 154.9322432549.

Verification: 154.93224325492 ≈ 24004.

Simplified radical form

The square root of 24004 in simplified radical form is 2√6001.

This is equivalent to √24004, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15423716
Upper or equal15524025

Nearby square roots

NumberSquare root
√24001154.9225613008
√24002154.9257886861
√24003154.9290160041
√24004154.9322432549
√24005154.9354704385
√24006154.9386975549
√24007154.941924604

Number properties

Is 24004 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√24004 is irrational because 24004 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 24004.