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What is the Square Root of 16409?

The square root of 16409 is 128.0976190255. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16409 = 128.0976190255
CalculatedNon-perfect squareIrrational
Exact form√16409
Perfect squareNo
Number typeIrrational
Verification128.09761902552 ≈ 16409

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How the answer is calculated

We solve x2 = 16409. The resulting value is x = 128.0976190255.

Verification: 128.09761902552 ≈ 16409.

Simplified radical form

The square root of 16409 in simplified radical form is √16409.

There are no square factors that can be taken outside the radical, so √16409 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12816384
Upper or equal12916641

Nearby square roots

NumberSquare root
√16406128.0859086707
√16407128.0898122413
√16408128.0937156928
√16409128.0976190255
√16410128.1015222392
√16411128.105425334
√16412128.1093283098

Number properties

Is 16409 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16409 is irrational because 16409 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 16409.