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What is the Square Root of 16337?

The square root of 16337 is 127.8162743941. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16337 = 127.8162743941
CalculatedNon-perfect squareIrrational
Exact form√16337
Perfect squareNo
Number typeIrrational
Verification127.81627439412 ≈ 16337

On this page

How the answer is calculated

We solve x2 = 16337. The resulting value is x = 127.8162743941.

Verification: 127.81627439412 ≈ 16337.

Simplified radical form

The square root of 16337 in simplified radical form is 31√17.

This is equivalent to √16337, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16334127.8045382606
√16335127.8084504248
√16336127.8123624694
√16337127.8162743941
√16338127.8201861992
√16339127.8240978846
√16340127.8280094502

Number properties

Is 16337 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16337 is irrational because 16337 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 16337.