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What is the Square Root of 20667?

The square root of 20667 is 143.7602170282. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20667 = 143.7602170282
CalculatedNon-perfect squareIrrational
Exact form√20667
Perfect squareNo
Number typeIrrational
Verification143.76021702822 ≈ 20667

On this page

How the answer is calculated

We solve x2 = 20667. The resulting value is x = 143.7602170282.

Verification: 143.76021702822 ≈ 20667.

Simplified radical form

The square root of 20667 in simplified radical form is 83√3.

This is equivalent to √20667, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20664143.7497826085
√20665143.7532608326
√20666143.7567389725
√20667143.7602170282
√20668143.7636949998
√20669143.7671728873
√20670143.7706506906

Number properties

Is 20667 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20667 is irrational because 20667 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 20667.