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What is the Square Root of 16209?

The square root of 16209 is 127.3145710435. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16209 = 127.3145710435
CalculatedNon-perfect squareIrrational
Exact form√16209
Perfect squareNo
Number typeIrrational
Verification127.31457104352 ≈ 16209

On this page

How the answer is calculated

We solve x2 = 16209. The resulting value is x = 127.3145710435.

Verification: 127.31457104352 ≈ 16209.

Simplified radical form

The square root of 16209 in simplified radical form is 3√1801.

This is equivalent to √16209, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16206127.3027886576
√16207127.3067162407
√16208127.3106437027
√16209127.3145710435
√16210127.3184982632
√16211127.3224253618
√16212127.3263523392

Number properties

Is 16209 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16209 is irrational because 16209 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 16209.