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What is the Square Root of 16309?

The square root of 16309 is 127.7066952043. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16309 = 127.7066952043
CalculatedNon-perfect squareIrrational
Exact form√16309
Perfect squareNo
Number typeIrrational
Verification127.70669520432 ≈ 16309

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How the answer is calculated

We solve x2 = 16309. The resulting value is x = 127.7066952043.

Verification: 127.70669520432 ≈ 16309.

Simplified radical form

The square root of 16309 in simplified radical form is √16309.

There are no square factors that can be taken outside the radical, so √16309 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16306127.6949489996
√16307127.6988645212
√16308127.7027799228
√16309127.7066952043
√16310127.7106103658
√16311127.7145254073
√16312127.7184403287

Number properties

Is 16309 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16309 is irrational because 16309 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 16309.