What is the Square Root of 16852?

The square root of 16852 is 129.815253341. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16852 = 129.815253341
CalculatedNon-perfect squareIrrational
Exact form√16852
Perfect squareNo
Number typeIrrational
Verification129.8152533412 ≈ 16852

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How the answer is calculated

We solve x2 = 16852. The resulting value is x = 129.815253341.

Verification: 129.8152533412 ≈ 16852.

Simplified radical form

The square root of 16852 in simplified radical form is 2√4213.

This is equivalent to √16852, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16849129.8036979442
√16850129.8075498575
√16851129.8114016564
√16852129.815253341
√16853129.8191049114
√16854129.8229563675
√16855129.8268077093

Number properties

Is 16852 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16852 is irrational because 16852 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 16852.