What is the Square Root of 16249?

The square root of 16249 is 127.4715654568. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16249 = 127.4715654568
CalculatedNon-perfect squareIrrational
Exact form√16249
Perfect squareNo
Number typeIrrational
Verification127.47156545682 ≈ 16249

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How the answer is calculated

We solve x2 = 16249. The resulting value is x = 127.4715654568.

Verification: 127.47156545682 ≈ 16249.

Simplified radical form

The square root of 16249 in simplified radical form is √16249.

There are no square factors that can be taken outside the radical, so √16249 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16246127.4597975834
√16247127.4637203286
√16248127.467642953
√16249127.4715654568
√16250127.4754878398
√16251127.4794101022
√16252127.4833322439

Number properties

Is 16249 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16249 is irrational because 16249 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 16249.