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What is the Square Root of 16125?

The square root of 16125 is 126.984250992. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16125 = 126.984250992
CalculatedNon-perfect squareIrrational
Exact form√16125
Perfect squareNo
Number typeIrrational
Verification126.9842509922 ≈ 16125

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How the answer is calculated

We solve x2 = 16125. The resulting value is x = 126.984250992.

Verification: 126.9842509922 ≈ 16125.

Simplified radical form

The square root of 16125 in simplified radical form is 5√645.

This is equivalent to √16125, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12615876
Upper or equal12716129

Nearby square roots

NumberSquare root
√16122126.9724379541
√16123126.9763757555
√16124126.9803134348
√16125126.984250992
√16126126.9881884271
√16127126.9921257401
√16128126.9960629311

Number properties

Is 16125 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16125 is irrational because 16125 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 16125.