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What is the Square Root of 16833?

The square root of 16833 is 129.7420517797. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16833 = 129.7420517797
CalculatedNon-perfect squareIrrational
Exact form√16833
Perfect squareNo
Number typeIrrational
Verification129.74205177972 ≈ 16833

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How the answer is calculated

We solve x2 = 16833. The resulting value is x = 129.7420517797.

Verification: 129.74205177972 ≈ 16833.

Simplified radical form

The square root of 16833 in simplified radical form is √16833.

There are no square factors that can be taken outside the radical, so √16833 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16830129.7304898626
√16831129.7343439495
√16832129.7381979218
√16833129.7420517797
√16834129.7459055231
√16835129.749759152
√16836129.7536126665

Number properties

Is 16833 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16833 is irrational because 16833 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 16833.