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What is the Square Root of 20689?

The square root of 20689 is 143.8367129769. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20689 = 143.8367129769
CalculatedNon-perfect squareIrrational
Exact form√20689
Perfect squareNo
Number typeIrrational
Verification143.83671297692 ≈ 20689

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How the answer is calculated

We solve x2 = 20689. The resulting value is x = 143.8367129769.

Verification: 143.83671297692 ≈ 20689.

Simplified radical form

The square root of 20689 in simplified radical form is √20689.

There are no square factors that can be taken outside the radical, so √20689 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20686143.8262841069
√20687143.8297604809
√20688143.8332367709
√20689143.8367129769
√20690143.8401890989
√20691143.8436651368
√20692143.8471410908

Number properties

Is 20689 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20689 is irrational because 20689 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 20689.