What is the Square Root of 20704?

The square root of 20704 is 143.8888459888. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20704 = 143.8888459888
CalculatedNon-perfect squareIrrational
Exact form√20704
Perfect squareNo
Number typeIrrational
Verification143.88884598882 ≈ 20704

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How the answer is calculated

We solve x2 = 20704. The resulting value is x = 143.8888459888.

Verification: 143.88884598882 ≈ 20704.

Simplified radical form

The square root of 20704 in simplified radical form is 4√1294.

This is equivalent to √20704, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20701143.8784208976
√20702143.881896012
√20703143.8853710424
√20704143.8888459888
√20705143.8923208514
√20706143.89579563
√20707143.8992703248

Number properties

Is 20704 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20704 is irrational because 20704 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 20704.