What is the Square Root of 16809?

The square root of 16809 is 129.6495275734. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16809 = 129.6495275734
CalculatedNon-perfect squareIrrational
Exact form√16809
Perfect squareNo
Number typeIrrational
Verification129.64952757342 ≈ 16809

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How the answer is calculated

We solve x2 = 16809. The resulting value is x = 129.6495275734.

Verification: 129.64952757342 ≈ 16809.

Simplified radical form

The square root of 16809 in simplified radical form is √16809.

There are no square factors that can be taken outside the radical, so √16809 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16806129.6379574045
√16807129.6418142422
√16808129.6456709651
√16809129.6495275734
√16810129.6533840669
√16811129.6572404457
√16812129.6610967098

Number properties

Is 16809 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16809 is irrational because 16809 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 16809.