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What is the Square Root of 16000?

The square root of 16000 is 126.4911064067. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16000 = 126.4911064067
CalculatedNon-perfect squareIrrational
Exact form√16000
Perfect squareNo
Number typeIrrational
Verification126.49110640672 ≈ 16000

On this page

How the answer is calculated

We solve x2 = 16000. The resulting value is x = 126.4911064067.

Verification: 126.49110640672 ≈ 16000.

Simplified radical form

The square root of 16000 in simplified radical form is 40√10.

This is equivalent to √16000, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12615876
Upper or equal12716129

Nearby square roots

NumberSquare root
√15997126.4792473096
√15998126.4832004655
√15999126.4871534979
√16000126.4911064067
√16001126.495059192
√16002126.4990118538
√16003126.5029643921

Number properties

Is 16000 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16000 is irrational because 16000 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 16000.