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What is the Square Root of 20788?

The square root of 20788 is 144.1804425017. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20788 = 144.1804425017
CalculatedNon-perfect squareIrrational
Exact form√20788
Perfect squareNo
Number typeIrrational
Verification144.18044250172 ≈ 20788

On this page

How the answer is calculated

We solve x2 = 20788. The resulting value is x = 144.1804425017.

Verification: 144.18044250172 ≈ 20788.

Simplified radical form

The square root of 20788 in simplified radical form is 2√5197.

This is equivalent to √20788, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20785144.1700384962
√20786144.1735065815
√20787144.1769745833
√20788144.1804425017
√20789144.1839103368
√20790144.1873780884
√20791144.1908457566

Number properties

Is 20788 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20788 is irrational because 20788 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 20788.