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What is the Square Root of 16428?

The square root of 16428 is 128.1717597601. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16428 = 128.1717597601
CalculatedNon-perfect squareIrrational
Exact form√16428
Perfect squareNo
Number typeIrrational
Verification128.17175976012 ≈ 16428

On this page

How the answer is calculated

We solve x2 = 16428. The resulting value is x = 128.1717597601.

Verification: 128.17175976012 ≈ 16428.

Simplified radical form

The square root of 16428 in simplified radical form is 74√3.

This is equivalent to √16428, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12816384
Upper or equal12916641

Nearby square roots

NumberSquare root
√16425128.1600561798
√16426128.163957492
√16427128.1678586854
√16428128.1717597601
√16429128.1756607161
√16430128.1795615533
√16431128.1834622719

Number properties

Is 16428 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16428 is irrational because 16428 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 16428.