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What is the Square Root of 16837?

The square root of 16837 is 129.7574660665. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16837 = 129.7574660665
CalculatedNon-perfect squareIrrational
Exact form√16837
Perfect squareNo
Number typeIrrational
Verification129.75746606652 ≈ 16837

On this page

How the answer is calculated

We solve x2 = 16837. The resulting value is x = 129.7574660665.

Verification: 129.75746606652 ≈ 16837.

Simplified radical form

The square root of 16837 in simplified radical form is √16837.

There are no square factors that can be taken outside the radical, so √16837 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16834129.7459055231
√16835129.749759152
√16836129.7536126665
√16837129.7574660665
√16838129.7613193521
√16839129.7651725233
√16840129.7690255801

Number properties

Is 16837 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16837 is irrational because 16837 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 16837.