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What is the Square Root of 16389?

The square root of 16389 is 128.0195297601. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16389 = 128.0195297601
CalculatedNon-perfect squareIrrational
Exact form√16389
Perfect squareNo
Number typeIrrational
Verification128.01952976012 ≈ 16389

On this page

How the answer is calculated

We solve x2 = 16389. The resulting value is x = 128.0195297601.

Verification: 128.01952976012 ≈ 16389.

Simplified radical form

The square root of 16389 in simplified radical form is 3√1821.

This is equivalent to √16389, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12816384
Upper or equal12916641

Nearby square roots

NumberSquare root
√16386128.0078122616
√16387128.0117182136
√16388128.0156240464
√16389128.0195297601
√16390128.0234353546
√16391128.02734083
√16392128.0312461862

Number properties

Is 16389 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16389 is irrational because 16389 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 16389.