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What is the Square Root of 24000?

The square root of 24000 is 154.9193338483. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√24000 = 154.9193338483
CalculatedNon-perfect squareIrrational
Exact form√24000
Perfect squareNo
Number typeIrrational
Verification154.91933384832 ≈ 24000

On this page

How the answer is calculated

We solve x2 = 24000. The resulting value is x = 154.9193338483.

Verification: 154.91933384832 ≈ 24000.

Simplified radical form

The square root of 24000 in simplified radical form is 40√15.

This is equivalent to √24000, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15423716
Upper or equal15524025

Nearby square roots

NumberSquare root
√23997154.9096510873
√23998154.9128787416
√23999154.9161063286
√24000154.9193338483
√24001154.9225613008
√24002154.9257886861
√24003154.9290160041

Number properties

Is 24000 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√24000 is irrational because 24000 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 24000.