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What is the Square Root of 20764?

The square root of 20764 is 144.0971894244. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20764 = 144.0971894244
CalculatedNon-perfect squareIrrational
Exact form√20764
Perfect squareNo
Number typeIrrational
Verification144.09718942442 ≈ 20764

On this page

How the answer is calculated

We solve x2 = 20764. The resulting value is x = 144.0971894244.

Verification: 144.09718942442 ≈ 20764.

Simplified radical form

The square root of 20764 in simplified radical form is 2√5191.

This is equivalent to √20764, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20761144.0867794074
√20762144.0902494966
√20763144.0937195023
√20764144.0971894244
√20765144.1006592629
√20766144.1041290179
√20767144.1075986893

Number properties

Is 20764 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20764 is irrational because 20764 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 20764.