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What is the Square Root of 20740?

The square root of 20740 is 144.0138882192. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20740 = 144.0138882192
CalculatedNon-perfect squareIrrational
Exact form√20740
Perfect squareNo
Number typeIrrational
Verification144.01388821922 ≈ 20740

On this page

How the answer is calculated

We solve x2 = 20740. The resulting value is x = 144.0138882192.

Verification: 144.01388821922 ≈ 20740.

Simplified radical form

The square root of 20740 in simplified radical form is 2√5185.

This is equivalent to √20740, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20737144.0034721804
√20738144.006944277
√20739144.0104162899
√20740144.0138882192
√20741144.0173600647
√20742144.0208318265
√20743144.0243035047

Number properties

Is 20740 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20740 is irrational because 20740 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 20740.