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What is the Square Root of 16317?

The square root of 16317 is 127.7380131363. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16317 = 127.7380131363
CalculatedNon-perfect squareIrrational
Exact form√16317
Perfect squareNo
Number typeIrrational
Verification127.73801313632 ≈ 16317

On this page

How the answer is calculated

We solve x2 = 16317. The resulting value is x = 127.7380131363.

Verification: 127.73801313632 ≈ 16317.

Simplified radical form

The square root of 16317 in simplified radical form is 21√37.

This is equivalent to √16317, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16314127.7262698117
√16315127.7301843732
√16316127.7340988147
√16317127.7380131363
√16318127.7419273379
√16319127.7458414196
√16320127.7497553814

Number properties

Is 16317 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16317 is irrational because 16317 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 16317.