What is the Square Root of 16625?

The square root of 16625 is 128.9379695823. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16625 = 128.9379695823
CalculatedNon-perfect squareIrrational
Exact form√16625
Perfect squareNo
Number typeIrrational
Verification128.93796958232 ≈ 16625

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How the answer is calculated

We solve x2 = 16625. The resulting value is x = 128.9379695823.

Verification: 128.93796958232 ≈ 16625.

Simplified radical form

The square root of 16625 in simplified radical form is 5√665.

This is equivalent to √16625, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12816384
Upper or equal12916641

Nearby square roots

NumberSquare root
√16622128.9263355564
√16623128.9302136817
√16624128.9340916903
√16625128.9379695823
√16626128.9418473576
√16627128.9457250164
√16628128.9496025585

Number properties

Is 16625 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16625 is irrational because 16625 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 16625.