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What is the Square Root of 20741?

The square root of 20741 is 144.0173600647. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20741 = 144.0173600647
CalculatedNon-perfect squareIrrational
Exact form√20741
Perfect squareNo
Number typeIrrational
Verification144.01736006472 ≈ 20741

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How the answer is calculated

We solve x2 = 20741. The resulting value is x = 144.0173600647.

Verification: 144.01736006472 ≈ 20741.

Simplified radical form

The square root of 20741 in simplified radical form is √20741.

There are no square factors that can be taken outside the radical, so √20741 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20738144.006944277
√20739144.0104162899
√20740144.0138882192
√20741144.0173600647
√20742144.0208318265
√20743144.0243035047
√20744144.0277750991

Number properties

Is 20741 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20741 is irrational because 20741 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 20741.